diff --git a/ons-spark/_toc.yml b/ons-spark/_toc.yml index cb70d626..7b7aff64 100644 --- a/ons-spark/_toc.yml +++ b/ons-spark/_toc.yml @@ -53,6 +53,7 @@ parts: - caption: Analysis in Spark chapters: - file: spark-analysis/big-data-workflow + - file: spark-analysis/sampling-for-eda - file: spark-analysis/interpolation - file: spark-analysis/logistic-regression - file: spark-analysis/visualisation diff --git a/ons-spark/data/mot_eda_sample_0.1.csv b/ons-spark/data/mot_eda_sample_0.1.csv new file mode 100644 index 00000000..c5145172 --- /dev/null +++ b/ons-spark/data/mot_eda_sample_0.1.csv @@ -0,0 +1,37661 @@ +"vehicle_id","test_date","test_mileage","postcode_area","make","colour","cylinder_capacity" +936278007,2023-04-28,42480,"ML","NISSAN","ORANGE",998 +858355106,2023-04-28,42340,"NE","KAWASAKI","BLACK",553 +1027196372,2023-04-28,93433,"GL","FIAT","BLUE",1242 +1397627616,2023-04-28,217404,"B","TOYOTA","GREY",1798 +384731403,2023-05-03,4592,"DN","YAMAHA","WHITE",125 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b/ons-spark/images/mean_test_mileage_colour_R.png differ diff --git a/ons-spark/images/mean_test_mileage_colour_python.png b/ons-spark/images/mean_test_mileage_colour_python.png new file mode 100644 index 00000000..933317c9 Binary files /dev/null and b/ons-spark/images/mean_test_mileage_colour_python.png differ diff --git a/ons-spark/raw-notebooks/sampling-for-eda/r_input.R b/ons-spark/raw-notebooks/sampling-for-eda/r_input.R new file mode 100644 index 00000000..875e8b24 --- /dev/null +++ b/ons-spark/raw-notebooks/sampling-for-eda/r_input.R @@ -0,0 +1,251 @@ + + +# Load in required packages +library(sparklyr) +library(dplyr) +library(pillar) + +# Set up Spark session +default_config <- sparklyr::spark_config() + +sc <- spark_connect(master = "local", + app_name = "sampling_for_eda", + config = default_config) + + +# Check Spark connection is open + spark_connection_is_open(sc) + + + + +# Read in the MOT dataset +#mot_path = "s3a://onscdp-dev-data01-5320d6ca/bat/dapcats/mot_test_results.csv" +mot_path = "C:/Users/snowda/repos/data/mot_test_results.csv" +mot <- sparklyr::spark_read_csv( + sc, + mot_path, + header = TRUE, + infer_schema = TRUE) + +# Check schema and preview data +pillar::glimpse(mot) + + + + +# Check the size of the data we are working with +mot %>% + sparklyr::sdf_nrow() %>% + print() + + + + +# Select columns we want to work with +mot <- mot %>% + sparklyr::select(vehicle_id, test_date, test_mileage, postcode_area, make, colour, cylinder_capacity) + +# Change column data type or column name formatting. For example, change test_date to a date instead of an integer. +mot %>% + dplyr::mutate(test_date = as.date(test_date)) + +# Re-check the schema to ensure your changes have been made to the mot dataframe +pillar::glimpse(mot) + + + + +# Check for missing data first, do not just omit it. The example uses the test_mileage column. + +mot %>% + filter(is.na(test_mileage)) %>% + sdf_nrow() %>% + print() + + + + +# If appropriate for your data, remove any rows with missing data under ANY variable. +mot <- mot %>% + na.omit() + + mot %>% sdf_nrow() + + + +# Identify duplicate data in the mot dataframe +duplicates <- mot %>% + group_by(vehicle_id, test_date, test_mileage, postcode_area, make, colour, cylinder_capacity) %>% + summarise(count = n()) %>% + filter(count > 1) + arrange(desc(count)) + +duplicates %>% + sdf_nrow() %>% + print() + + + + +# If appropriate for your data, remove the duplicated rows and preview your clean dataset +(i.e. removal of duplicates and missing values). + +mot_clean <- sdf_distinct(mot) + +mot_clean_size <- mot_clean %>% + sparklyr::sdf_nrow() + +mot_clean_size %>% print() + +pillar::glimpse(mot_clean) + + + + +# It can also be useful to view distinct groups in the categorical columns across your data frame, for example showing the distinct groups in the 'colour' column will show you all the different colours of cars reported in the dataframe. This could also help you spot anomalies or errors. +colour <- mot_clean %>% + sparklyr::select(colour) %>% + sparklyr::sdf_distinct() %>% + sparklyr::sdf_collect() + + colour + + + + +colour +# A tibble: 20 × 1 + colour + + 1 RED + 2 CREAM + 3 GOLD + 4 BROWN + 5 YELLOW + 6 BRONZE + 7 BLACK + 8 MULTI-COLOUR + 9 NOT STATED +10 SILVER +11 PINK +12 PURPLE +13 BLUE +14 GREY +15 BEIGE +16 MAROON +17 TURQUOISE +18 WHITE +19 ORANGE +20 GREEN + + + + +corr_matrix <- mot_distinct %>% + ml_corr(c("vehicle_id", "test_mileage", "cylinder_capacity")) +corr_matrix + + + + +# Summary statistics for a numeric and string column +summary_mileage <- sdf_describe(mot_clean, "test_mileage") +summary_mileage + + + +sample_size_finite <- function(N, z, p, e) { + #' Calculates a suggested sample size for a finite population. + #' + #' @param N = population size + #' @param z = z score (e.g. 1.96 = 95% confidence) + #' @param p = population proportion (use 0.5 if unknown) + #' @param e = margin of error (e.g. 0.05 for 5%) + + # Initial sample size without finite population correction + n <- (z^2 * p * (1 - p)) / (e^2) + + # Adjusted sample size for finite population + adjusted_size <- n / (1 + (n / N)) + + # Return the ceiling of the adjusted sample size. + print(ceiling(adjusted_size)) +} + +# We will now use the function to determine a sample size for the mot_clean data, based on a 99.99% confidence interval and 1% margin of error. +# As we set the mot_clean_size variable we will input this as N. + +sample_size <- sample_size_finite(mot_clean_size, 3.89, 0.5, 0.01) + + + +fraction <- sample_size/mot_clean_size %>% print() +mot_sample <- mot_clean %>% sparklyr::sdf_sample(fraction, replacement=FALSE, seed = 99) +mot_sample %>% sparklyr::sdf_nrow() + + + + + +# Read in the sample data ready for EDA +mot_eda_sample <- read.csv("D:/repos/ons-spark/ons-spark/data/mot_eda_sample_0.1.csv") + +# Check schema and preview data +pillar::glimpse(mot_eda_sample) + + + + +# Again, check the data types of each column in the dataframe, change them if necessary + +mot_eda_sample <- mot_eda_sample %>% + dplyr::mutate(test_date = as.Date(test_date)) %>% + dplyr::mutate_at(c("make", "colour"), as.factor) + + + + +summary <- summary(mot_eda_sample) +summary + + + + +correlation_data <- mot_eda_sample[, c("vehicle_id", "test_mileage", "cylinder_capacity")] +cor(correlation_data) + + + + +colour_percentage <- mot_eda_sample %>% + dplyr::group_by(colour) %>% + dplyr::summarise(count = length(colour)) %>% + dplyr::mutate(percentage = count/(nrow(mot_eda_sample))*100) %>% + arrange(desc(percentage)) + + + + +mean_mileage <- mot_eda_sample %>% + group_by(colour) %>% + summarise(mean_mileage = mean(test_mileage, na.rm = TRUE)) %>% + arrange(desc(mean_mileage)) %>% + print() + + + + +library(ggplot2) + +ggplot(mean_mileage, aes(x = reorder(colour, -mean_mileage), y = mean_mileage)) + + geom_bar(stat = "identity", fill = "skyblue") + + geom_text(aes(label = round(mean_mileage, 0)), vjust = 1, angle = 45) + + labs( + title = "Mean Mileage by Car Colour", + x = "Car Colour", + y = "Mean Mileage" + ) + + theme_minimal() + + theme(axis.text.x = element_text(angle = 45, hjust = 1)) + diff --git a/ons-spark/raw-notebooks/sampling-for-eda/sampling-for-eda.ipynb b/ons-spark/raw-notebooks/sampling-for-eda/sampling-for-eda.ipynb new file mode 100644 index 00000000..28675936 --- /dev/null +++ b/ons-spark/raw-notebooks/sampling-for-eda/sampling-for-eda.ipynb @@ -0,0 +1,407 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "5cf44719", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "from pyspark.sql import SparkSession\n", + "import pyspark.sql.functions as F\n", + "from pyspark.sql.window import Window\n", + "\n", + "spark = (SparkSession.builder\n", + " .appName('sampling_for_eda')\n", + " .getOrCreate())\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb97e4e6", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# Read in the MOT dataset\n", + "#mot_path = \"s3a://onscdp-dev-data01-5320d6ca/bat/dapcats/mot_test_results.csv\n", + "mot_path = \"C:/Users/snowda/repos/data/mot_test_results.csv\"\n", + "\n", + "mot = (spark.read.csv(mot_path, header=True, inferSchema=True))\n", + "\n", + "# Check schema and preview data\n", + "mot.printSchema()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "091afa62", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# Check the size of the data we are working with\n", + "mot.count()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9502085c", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# Select columns we want to work with\n", + "mot = (mot.select(\"vehicle_id\", \"test_date\", \"test_mileage\", \"postcode_area\", \"make\", \"colour\", \"cylinder_capacity\"))\n", + "\n", + "# Change column data type or column name formatting. For example, change test_date to a date instead of an integer.\n", + "mot = mot.withColumn(\"test_date\", F.to_date(\"test_date\", \"yyyy-MM-dd\"))\n", + "\n", + "# Re-check the schema to ensure your changes have been made to the mot dataframe\n", + "mot.printSchema()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "81560ba5", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# Check for missing data first, do not just omit it. The example uses the test_mileage column.\n", + "\n", + "from pyspark.sql.functions import col, isnan\n", + "mot.filter(col(\"test_mileage\").isNull()).count()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9fbdcb76", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# If appropriate for your data, remove any rows with missing data under ANY variable.\n", + "mot = mot.dropna()\n", + "\n", + "mot.count()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ee1533ce", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# Identify duplicate data in the mot dataframe\n", + "duplicates = (mot\n", + " .groupBy(mot.columns)\n", + " .count()\n", + " .filter(F.col(\"count\") > 1)\n", + " .orderBy('count', ascending=False))\n", + "\n", + "duplicates.count()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "65e6d474", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# If appropriate for your data, remove the duplicated rows and preview your clean dataset \n", + "(i.e. removal of duplicates and missing values).\n", + "\n", + "# If no arguments are provided dropDuplicates() works the same as distinct() \n", + "mot_clean = mot.dropDuplicates()\n", + "\n", + "mot_clean_size <- mot_clean.count()\n", + "mot_clean_size \n", + "\n", + "mot_clean.printSchema()\n", + "mot_clean.show(5)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2b53fc9b", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# It can also be useful to view distinct groups in the categorical columns across your data frame -\n", + "# for example showing the distinct groups in the 'colour' column will show you all the different colours of cars reported in the dataframe.\n", + "# This could also help you spot anomalies or errors.\n", + "\n", + "mot_clean.select(\"colour\").distinct().show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4a85c1c5", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "from pyspark.ml.stat import Correlation\n", + "from pyspark.ml.feature import VectorAssembler\n", + "import pandas as pd\n", + "\n", + "input_col_names = [\"vehicle_id\",\"test_mileage\",\"cylinder_capacity\"]\n", + "\n", + "vector_assembler = VectorAssembler(inputCols=input_col_names, outputCol=\"features\")\n", + "data_vector = vector_assembler.transform(mot)\n", + "features_vector = data_vector.select(\"features\")\n", + "#features_vector.show()\n", + "matrix = Correlation.corr(features_vector, \"features\").collect()[0][0]\n", + "corr_matrix = matrix.toArray().tolist()\n", + "features = input_col_names\n", + "corr_matrix_df = pd.DataFrame(data=corr_matrix, columns = features, index = features) \n", + "corr_matrix_df\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "124e4199", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# Summary statistics for a numeric column\n", + "summary_mileage = mot.select(\"test_mileage\").summary().show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "42af6a43", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "import math\n", + "\n", + "def sample_size_finite(N, z, p, e):\n", + " \"\"\"\n", + " Calculates a suggested sample size for a finite population.\n", + " \n", + " Parameters:\n", + " N (int): population size\n", + " z (int): z score (e.g. 1.96 = 95% confidence)\n", + " p (int): population proportion (use 0.5 if unknown)\n", + " e (int): margin of error (e.g. 0.05 for 5%) \n", + " \n", + " Returns:\n", + " int: adjusted sample size (rounded up)\n", + " \"\"\"\n", + " # Initial sample size without finite population correction\n", + " n = (z**2 * p * (1 - p)) / (e**2)\n", + " \n", + " # Adjusted sample size for finite population\n", + " adjusted_size = n / (1 + (n / N))\n", + " \n", + " # Return the ceiling of the adjusted sample size.\n", + " return math.ceil(adjusted_size)\n", + "\n", + "# We will now use the function to determine a sample size for the mot_clean data, based on a 99.99% confidence interval and 1% margin of error.\n", + "# As we set the mot_clean_size variable we will input this as N.\n", + "\n", + "sample_size = sample_size_finite(mot_clean_size, 3.89, 0.5, 0.01)\n", + "sample_size\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f4cd01ea", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "fraction = sample_size/mot_clean_size\n", + "\n", + "mot_sample = mot.sample(withReplacement = None,\n", + " fraction = fraction, \n", + " seed = 99)\n", + "mot_sample.count()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a743244f", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "# It is best practice to always stop a Spark session.\n", + "spark.stop()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7cd3d75b", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "import pandas as pd\n", + "\n", + "# Read in the sample data ready for EDA\n", + "mot_eda_sample = pd.read_csv(\"D:/repos/ons-spark/ons-spark/data/mot_eda_sample_0.1.csv\")\n", + "\n", + "# Check the schema and datatypes and preview data \n", + "mot_eda_sample.info()\n", + "mot_eda_sample.head()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4d61a413", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "# Again, check the data types of each column in the dataframe, change them if necessary\n", + "\n", + "mot_eda_sample['test_date'] = pd.to_datetime(mot_eda_sample['test_date'])\n", + "mot_eda_sample['colour'] = pd.Categorical(mot_eda_sample['colour'])\n", + "mot_eda_sample['make'] = pd.Categorical(mot_eda_sample['make'])\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e9964de3", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "summary = mot_eda_sample.describe()\n", + "print(summary)\n", + "\n", + "# you can also use .describe() on specified cateogircal columns\n", + "mot['colour].describe()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6a2a505a", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "mot_eda_sample.corr(numeric_only = True)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0448e71c", + "metadata": {}, + "outputs": [], + "source": [ + " \n", + "\n", + "colour_percentage = (\n", + " mot_eda_sample\n", + " .groupby('colour')\n", + " .agg(count=('colour','size'))\n", + " .assign(percentage=lambda df: (df['count'] / len(mot_eda_sample)) * 100)\n", + " .sort_values(by='percentage', ascending=False)\n", + " .reset_index()\n", + ")\n", + "\n", + "print(colour_percentage)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "91f61d7b", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "mean_mileage = (\n", + " mot_eda_sample\n", + " .groupby('colour')\n", + " .agg(mean_mileage=('test_mileage','mean'))\n", + " .sort_values(by='mean_mileage', ascending=False)\n", + " .reset_index()\n", + ")\n", + "\n", + "print(mean_mileage)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "87018c83", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "(mean_mileage.plot(title='mean test mileage by colour', kind='bar', x='colour', y='mean_mileage')\n", + " .set(xlabel='colour', ylabel='mean_test_mileage'))\n", + "\n" + ] + } + ], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/ons-spark/spark-analysis/sampling-for-eda.md b/ons-spark/spark-analysis/sampling-for-eda.md new file mode 100644 index 00000000..7419067d --- /dev/null +++ b/ons-spark/spark-analysis/sampling-for-eda.md @@ -0,0 +1,1205 @@ +# Sampling Big Data for Exploratory Data Analysis + +Generally, it is unnecessary and not good practice to carry out the majority of data analysis on a full dataset, especially if it is very large (~10 million rows+). In the exploratory data analysis (EDA), detailed analysis and development phases of your work it is suggested that you keep the size of your data as small as possible to conserve compute resource, time and money. Ideally, you should take a sample small enough that you can work in Python or R instead of PySpark and SparklyR - we recommend anything less than a few million rows. For more information on choosing the right tool please refer to our [guidance](https://gitlab-app-l-01/DAP_CATS/cdp-guidance-wiki/-/wikis/Choosing-the-right-tool-in-DAP). + +One way to reduce your data is to take samples, especially in the EDA phase. Simply, EDA allows you to investigate your data before deep diving into further analysis, you can summarise main characteristics, assess data types, spot anomalies and trends, test hypotheses and check assumptions; you can also determine if the techniques you want to use for further analysis are appropriate for your data. As a result, you want your sample to be as representative of the overall dataset as possible and therefore sample verification is also essential. + +In this section we will cover pre-sampling, sampling methods and sample verification. The worked example we will use is the DVLA MOT dataset for 2023. + +### Setting up Spark and loading your data +````{tabs} +```{code-tab} py +from pyspark.sql import SparkSession +import pyspark.sql.functions as F +from pyspark.sql.window import Window + +spark = (SparkSession.builder + .appName('sampling_for_eda') + .getOrCreate()) + +``` + +```{code-tab} r R + +# Load in required packages +library(sparklyr) +library(dplyr) +library(pillar) + +# Set up Spark session +default_config <- sparklyr::spark_config() + +sc <- spark_connect(master = "local", + app_name = "sampling_for_eda", + config = default_config) + + +# Check Spark connection is open + spark_connection_is_open(sc) + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +Setting spark.hadoop.yarn.resourcemanager.principal to alexandra.snowdon + +``` + +```{code-tab} plaintext R Output + +[1] TRUE + +``` +```` + +````{tabs} +```{code-tab} py + +# Read in the MOT dataset +#mot_path = "s3a://onscdp-dev-data01-5320d6ca/bat/dapcats/mot_test_results.csv +mot_path = "C:/Users/snowda/repos/data/mot_test_results.csv" + +mot = (spark.read.csv(mot_path, header=True, inferSchema=True)) + +# Check schema and preview data +mot.printSchema() + +``` + +```{code-tab} r R + +# Read in the MOT dataset +#mot_path = "s3a://onscdp-dev-data01-5320d6ca/bat/dapcats/mot_test_results.csv" +mot_path = "C:/Users/snowda/repos/data/mot_test_results.csv" +mot <- sparklyr::spark_read_csv( + sc, + mot_path, + header = TRUE, + infer_schema = TRUE) + +# Check schema and preview data +pillar::glimpse(mot) + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +root + |-- test_id: integer (nullable = true) + |-- vehicle_id: integer (nullable = true) + |-- test_date: timestamp (nullable = true) + |-- test_class_id: integer (nullable = true) + |-- test_type: string (nullable = true) + |-- test_result: string (nullable = true) + |-- test_mileage: integer (nullable = true) + |-- postcode_area: string (nullable = true) + |-- make: string (nullable = true) + |-- model: string (nullable = true) + |-- colour: string (nullable = true) + |-- fuel_type: string (nullable = true) + |-- cylinder_capacity: integer (nullable = true) + |-- first_use_date: timestamp (nullable = true) + + ``` + + ```{code-tab} plaintext R Output + +Rows: ?? +Columns: 14 +Database: spark_connection +$ test_id 1687460261, 1007821341, 1268040905, 232884115, 12510… +$ vehicle_id 1131526890, 211522675, 1218838379, 159956284, 851633… +$ test_date 2023-04-28, 2023-04-28, 2023-04-28, 2023-04-28, 202… +$ test_class_id 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4… +$ test_type "NT", "NT", "RT", "NT", "NT", "NT", "NT", "NT", "NT"… +$ test_result "F", "P", "P", "F", "P", "P", "P", "P", "P", "P", "P… +$ test_mileage 129661, 26597, 11803, 148187, 12915, 22281, 30140, 2… +$ postcode_area "HU", "IV", "LA", "BD", "PO", "WA", "PH", "B", "S", … +$ make "BMW", "FORD", "THE EXPLORER GROUP", "AUDI", "DACIA"… +$ model "525", "FIESTA", "UNCLASSIFIED", "A3", "DUSTER", "CO… +$ colour "BLACK", "BLUE", "WHITE", "WHITE", "ORANGE", "BLUE",… +$ fuel_type "DI", "PE", "DI", "DI", "PE", "PE", "PE", "DI", "DI"… +$ cylinder_capacity 2497, 998, 1997, 1968, 1330, 1398, 1199, 1500, 2993,… +$ first_use_date 2002-05-27, 2016-06-27, 2017-03-03, 2010-10-30, 201… + +``` +```` + +````{tabs} +```{code-tab} py + +# Check the size of the data we are working with +mot.count() + +``` + +```{code-tab} r R + +# Check the size of the data we are working with +mot %>% + sparklyr::sdf_nrow() %>% + print() + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +42216721 + +``` + +```{code-tab} plaintext R Output + +[1] 42216721 + +``` +```` + +It is important to consider what data is really needed for your purpose. Filter out the unnecessary data early on to reduce the size of your dataset and therefore compute resource, time and money. For example, select which columns you need to be in your dataset. Once you know which columns you want for analysis, you won't to load in the overall dataset every time you open a session, you could just use `sparklyr::select(column_name_1, column_name_2, ..., column_name_5)` at the point of reading in your data. + +````{tabs} +```{code-tab} py + +# Select columns we want to work with +mot = (mot.select("vehicle_id", "test_date", "test_mileage", "postcode_area", "make", "colour", "cylinder_capacity")) + +# Change column data type or column name formatting. For example, change test_date to a date instead of an integer. +mot = mot.withColumn("test_date", F.to_date("test_date", "yyyy-MM-dd")) + +# Re-check the schema to ensure your changes have been made to the mot dataframe +mot.printSchema() + +``` + +```{code-tab} r R + +# Select columns we want to work with +mot <- mot %>% + sparklyr::select(vehicle_id, test_date, test_mileage, postcode_area, make, colour, cylinder_capacity) + +# Change column data type or column name formatting. For example, change test_date to a date instead of an integer. +mot %>% + dplyr::mutate(test_date = as.date(test_date)) + +# Re-check the schema to ensure your changes have been made to the mot dataframe +pillar::glimpse(mot) + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +root + |-- vehicle_id: integer (nullable = true) + |-- test_date: date (nullable = true) + |-- test_mileage: integer (nullable = true) + |-- postcode_area: string (nullable = true) + |-- make: string (nullable = true) + |-- colour: string (nullable = true) + |-- cylinder_capacity: integer (nullable = true) + + ``` + +```{code-tab} plaintext R Output + +Rows: ?? +Columns: 7 +Database: spark_connection +$ vehicle_id 1131526890, 211522675, 1218838379, 159956284, 851633… +$ test_date 2023-04-28, 2023-04-28, 2023-04-28, 2023-04-28, 202… +$ test_mileage 129661, 26597, 11803, 148187, 12915, 22281, 30140, 2… +$ postcode_area "HU", "IV", "LA", "BD", "PO", "WA", "PH", "B", "S", … +$ make "BMW", "FORD", "THE EXPLORER GROUP", "AUDI", "DACIA"… +$ colour "BLACK", "BLUE", "WHITE", "WHITE", "ORANGE", "BLUE",… +$ cylinder_capacity 2497, 998, 1997, 1968, 1330, 1398, 1199, 1500, 2993,… + +``` +```` + +## Pre-sampling + +Pre-sampling is executed before taking a sample your big data, it works to clean your data and it gives a 'quick' idea of what the data looks like and helps inform decisions on what to include in your sample. Pre-sampling involves looking at nulls, duplicates, quick summary stats. If these steps are not taken then the results ouputted from analysis on your sample could be skewed and non-representative of the big data. + +It is important to consider the order you execute things as this will affect your analysis. For example, if you filter out unwanted columns additional duplicates could be thrown up as you may have removed the columns with the differing data. The same goes for nulls; when you filter out unwanted columns the number of nulls could reduce as you may have removed the deciding columns and therefore when you use a function such as `na.omit()`, rows that may have been removed before filtering would actually be left in your sample. + +It is good practice to check the missing data and duplicate data first, do not just omit them. If you find unusual outputs you can investigate further to determine whether they are true nulls or duplicates. In the worked example on this page we will remove rows with null values and fully duplicated rows - note that this may not be appropriate for your data! Please refer to our accompanying pages which offer further guidance on how to handle [missing data with imputation](https://best-practice-and-impact.github.io/ons-spark/spark-analysis/interpolation.html?highlight=imputation#interpolation-in-spark) and how to work with [duplicates](https://best-practice-and-impact.github.io/ons-spark/spark-analysis/working-with-duplicates.html?highlight=duplicates#working-with-duplicates). + +````{tabs} +```{code-tab} py + +# Check for missing data first, do not just omit it. The example uses the test_mileage column. + +from pyspark.sql.functions import col, isnan +mot.filter(col("test_mileage").isNull()).count() + +``` + +```{code-tab} r R + +# Check for missing data first, do not just omit it. The example uses the test_mileage column. + +mot %>% + filter(is.na(test_mileage)) %>% + sdf_nrow() %>% + print() + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +324129 + +``` + +```{code-tab} plaintext R Output + +[1] 324129 + +``` +```` + +````{tabs} +```{code-tab} py + +# If appropriate for your data, remove any rows with missing data under ANY variable. +mot = mot.dropna() + +mot.count() + +``` + +```{code-tab} r R + +# If appropriate for your data, remove any rows with missing data under ANY variable. +mot <- mot %>% + na.omit() + + mot %>% sdf_nrow() +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +41614543 +``` + +```{code-tab} plaintext R + +[1] 41614543 + +``` +```` + +There are two ways to look at duplicates in PySpark and SparklyR. You can apply `distinct()` or `sdf_distinct()` to the entire dataframe which will remove duplicate rows based on all columns and ensures each row is unique. Alternatively, `dropDuplicates()` or `sdf_drop_duplicates()` are more flexible as you can remove duplicate rows based on specific columns. Here, we will use the first options to remove fully duplicated rows from the filtered dataset. As with missing values, it is advised that you look at the duplicated data first before removing it; for this, please refer to our [working with duplicates guidance](https://best-practice-and-impact.github.io/ons-spark/spark-analysis/working-with-duplicates.html). + +````{tabs} +```{code-tab} py + +# Identify duplicate data in the mot dataframe +duplicates = (mot + .groupBy(mot.columns) + .count() + .filter(F.col("count") > 1) + .orderBy('count', ascending=False)) + +duplicates.count() + +``` + +```{code-tab} r R + +# Identify duplicate data in the mot dataframe +duplicates <- mot %>% + group_by(vehicle_id, test_date, test_mileage, postcode_area, make, colour, cylinder_capacity) %>% + summarise(count = n()) %>% + filter(count > 1) + arrange(desc(count)) + +duplicates %>% + sdf_nrow() %>% + print() + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +2007820 + +``` + +```{code-tab} plaintext R Output + +[1] 2007820 + +``` +```` +````{tabs} +```{code-tab} py + +# If appropriate for your data, remove the duplicated rows and preview your clean dataset +(i.e. removal of duplicates and missing values). + +# If no arguments are provided dropDuplicates() works the same as distinct() +mot_clean = mot.dropDuplicates() + +mot_clean_size <- mot_clean.count() +mot_clean_size + +mot_clean.printSchema() +mot_clean.show(5) +``` + +```{code-tab} r R + +# If appropriate for your data, remove the duplicated rows and preview your clean dataset +(i.e. removal of duplicates and missing values). + +mot_clean <- sdf_distinct(mot) + +mot_clean_size <- mot_clean %>% + sparklyr::sdf_nrow() + +mot_clean_size %>% print() + +pillar::glimpse(mot_clean) + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Ouput + +39601678 + +root + |-- vehicle_id: integer (nullable = true) + |-- test_date: date (nullable = true) + |-- test_mileage: integer (nullable = true) + |-- postcode_area: string (nullable = true) + |-- make: string (nullable = true) + |-- colour: string (nullable = true) + |-- cylinder_capacity: integer (nullable = true) + +[Stage 20:> (0 + 1) / 1] ++----------+----------+------------+-------------+----------+------+-----------------+ +|vehicle_id| test_date|test_mileage|postcode_area| make|colour|cylinder_capacity| ++----------+----------+------------+-------------+----------+------+-----------------+ +| 956475846|2023-02-22| 160714| SY| HONDA| BLACK| 1246| +| 797546870|2023-02-22| 92582| N| HONDA|SILVER| 1799| +|1338418818|2023-02-22| 168403| SP| HONDA|SILVER| 1998| +| 546006004|2023-02-22| 68636| ME| MAZDA| GOLD| 1598| +| 167704309|2023-02-22| 60569| SE|VOLKSWAGEN|SILVER| 1198| ++----------+----------+------------+-------------+----------+------+-----------------+ +only showing top 5 rows + +``` + +```{code-tab} plaintext R Output + +[1] 39601678 + +Rows: ?? +Columns: 7 +Database: spark_connection +$ vehicle_id 631967128, 949451480, 1095423235, 744210417, 9604893… +$ test_date 2023-04-28, 2023-04-28, 2023-04-28, 2023-04-28, 202… +$ test_mileage 16393, 67737, 66732, 53372, 60347, 28404, 83208, 427… +$ postcode_area "PL", "LS", "ST", "AB", "NN", "BB", "CO", "AB", "PL"… +$ make "HARLEY-DAVIDSON", "RENAULT", "AUDI", "RENAULT", "MI… +$ colour "RED", "BLACK", "WHITE", "SILVER", "BLUE", "WHITE", … +$ cylinder_capacity 1200, 1149, 1968, 1598, 1998, 1248, 1598, 2179, 998,… + +``` +```` + +````{tabs} +```{code-tab} py + +# It can also be useful to view distinct groups in the categorical columns across your data frame - +# for example showing the distinct groups in the 'colour' column will show you all the different colours of cars reported in the dataframe. +# This could also help you spot anomalies or errors. + +mot_clean.select("colour").distinct().show() + +``` + +```{code-tab} r R + +# It can also be useful to view distinct groups in the categorical columns across your data frame, for example showing the distinct groups in the 'colour' column will show you all the different colours of cars reported in the dataframe. This could also help you spot anomalies or errors. +colour <- mot_clean %>% + sparklyr::select(colour) %>% + sparklyr::sdf_distinct() %>% + sparklyr::sdf_collect() + + colour + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +[Stage 11:======================================================> (27 + 1) / 28] ++------------+ +| colour| ++------------+ +| RED| +| WHITE| +| BLACK| +| BEIGE| +| GREEN| +| CREAM| +| SILVER| +| GOLD| +| PURPLE| +| BROWN| +|MULTI-COLOUR| +| YELLOW| +| MAROON| +| NOT STATED| +| GREY| +| TURQUOISE| +| BRONZE| +| BLUE| +| PINK| +| ORANGE| ++------------+ +``` + +```{code-tab} r R + +colour +# A tibble: 20 × 1 + colour + + 1 RED + 2 CREAM + 3 GOLD + 4 BROWN + 5 YELLOW + 6 BRONZE + 7 BLACK + 8 MULTI-COLOUR + 9 NOT STATED +10 SILVER +11 PINK +12 PURPLE +13 BLUE +14 GREY +15 BEIGE +16 MAROON +17 TURQUOISE +18 WHITE +19 ORANGE +20 GREEN + +``` +```` +As one last check of the data before sampling it is worth checking for collinearity between the numerical variables. The outputs could induce further filtering of the data. Collinearity can cause instability within your data as it shows strong links between variables that could skew outputs of models you apply. Therefore, it is good to check this early on in your EDA; if any collinearity is revealed then you can work a solution before it causes an issue, such as removing one of the two variables that have been identified as colinear. The default of both Pyspark and SparklyR correlation functions is to use the Pearson method. + +````{tabs} +```{code-tab} py + +from pyspark.ml.stat import Correlation +from pyspark.ml.feature import VectorAssembler +import pandas as pd + +input_col_names = ["vehicle_id","test_mileage","cylinder_capacity"] + +vector_assembler = VectorAssembler(inputCols=input_col_names, outputCol="features") +data_vector = vector_assembler.transform(mot) +features_vector = data_vector.select("features") +#features_vector.show() +matrix = Correlation.corr(features_vector, "features").collect()[0][0] +corr_matrix = matrix.toArray().tolist() +features = input_col_names +corr_matrix_df = pd.DataFrame(data=corr_matrix, columns = features, index = features) +corr_matrix_df + +``` + +```{code-tab} r R + +corr_matrix <- mot_distinct %>% + ml_corr(c("vehicle_id", "test_mileage", "cylinder_capacity")) +corr_matrix + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + + vehicle_id test_mileage cylinder_capacity +vehicle_id 1.000000 -0.000168 -0.00001 +test_mileage -0.000168 1.000000 0.26972 +cylinder_capacity -0.000010 0.269720 1.00000 + +``` + +```{code-tab} plaintext R Output + +# A tibble: 3 × 3 + vehicle_id test_mileage cylinder_capacity + +1 1 -0.000128 -0.000000333 +2 -0.000128 1 0.270 +3 -0.000000333 0.270 + +``` +```` +### Simple EDA of big data + +We now have a version of the big data that we can sample for EDA! At this point, some simple EDA on the big data can be useful for sample verification further on. In PySpark you can use `.summary()`to provide summary statistics on numeric and string columns; however, the statistics for a string will be based on length of the string and therefore an example is not shown here. In SparklyR you can use `sdf_describe()` which produces the same outputs. + +````{tabs} +```{code-tab} py + +# Summary statistics for a numeric column +summary_mileage = mot.select("test_mileage").summary().show() + +``` + +```{code-tab} r R + +# Summary statistics for a numeric and string column +summary_mileage <- sdf_describe(mot_clean, "test_mileage") +summary_mileage + +``` +```` +````{tabs} +```{code-tab} plaintext Python Output + ++-------+-----------------+ +|summary| test_mileage| ++-------+-----------------+ +| count| 39601678| +| mean|75561.09864907745| +| stddev|48373.21593230994| +| min| 1| +| 25%| 39360| +| 50%| 67306| +| 75%| 102216| +| max| 999999| ++-------+-----------------+ + +``` + +```{code-tab} plaintext R Output + +# Source: table<`sparklyr_tmp_79c6c9f3_ad03_4a70_9e2d_7fc866427ca4`> [?? x 2] +# Database: spark_connection + summary test_mileage + +1 count 39601678 +2 mean 75561.09864907745 +3 stddev 48373.21593231007 +4 min 1 +5 max + +``` +```` + +## Sampling big data for EDA + +Generally the larger your sample the more representative of your original population the sample is. However, when you are working with big data it is perhaps not realistic to take a 10 % or even a 1 % sample as this could still equate to upwards of 10 million rows. This would mean that Spark would still be needed for EDA, whereas ideally you want to do is use Python or R instead. + +There are two main methods you can adopt for informing your sample size: +1) Use a sample calculator. +2) Input your own sample size into standard sampling methods: `.sample()` in Pyspark or `sdf_sample()` in SparklyR (please refer to out [Sampling: an overview page](https://best-practice-and-impact.github.io/ons-spark/spark-functions/sampling.html#sampling-an-overview) for more details). + +The worked example in this guidance will determine sample size using the sample calculator; the sample will then be taken using the standard sampling methods. The mot_clean dataset created above will be used. If you want to determine your own sample size, based on a fraction of the population, this could be simply inputted into the standard sampling methods. + +### Using a sample calculator + +Here, a function has been created so that you can determine an ideal sample size for your data based on a number of input parameters and on a finite population. If you want to create a sample for an infinite population then simply remove the adjusted_size part of the function. To find z-score, please refer to the conversion table provided [here](https://www.calculator.net/sample-size-calculator.html). + +````{tabs} +```{code-tab} py + +import math + +def sample_size_finite(N, z, p, e): + """ + Calculates a suggested sample size for a finite population. + + Parameters: + N (int): population size + z (int): z score (e.g. 1.96 = 95% confidence) + p (int): population proportion (use 0.5 if unknown) + e (int): margin of error (e.g. 0.05 for 5%) + + Returns: + int: adjusted sample size (rounded up) + """ + # Initial sample size without finite population correction + n = (z**2 * p * (1 - p)) / (e**2) + + # Adjusted sample size for finite population + adjusted_size = n / (1 + (n / N)) + + # Return the ceiling of the adjusted sample size. + return math.ceil(adjusted_size) + +# We will now use the function to determine a sample size for the mot_clean data, based on a 99.99% confidence interval and 1% margin of error. +# As we set the mot_clean_size variable we will input this as N. + +sample_size = sample_size_finite(mot_clean_size, 3.89, 0.5, 0.01) +sample_size + +``` + +```{code-tab} r R +sample_size_finite <- function(N, z, p, e) { + #' Calculates a suggested sample size for a finite population. + #' + #' @param N = population size + #' @param z = z score (e.g. 1.96 = 95% confidence) + #' @param p = population proportion (use 0.5 if unknown) + #' @param e = margin of error (e.g. 0.05 for 5%) + + # Initial sample size without finite population correction + n <- (z^2 * p * (1 - p)) / (e^2) + + # Adjusted sample size for finite population + adjusted_size <- n / (1 + (n / N)) + + # Return the ceiling of the adjusted sample size. + print(ceiling(adjusted_size)) +} + +# We will now use the function to determine a sample size for the mot_clean data, based on a 99.99% confidence interval and 1% margin of error. +# As we set the mot_clean_size variable we will input this as N. + +sample_size <- sample_size_finite(mot_clean_size, 3.89, 0.5, 0.01) +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + +37795 + +``` + +```{code-tab} plaintext R Output + +[1] 37795 + +``` +```` + +The sample size suggestion is approximately 0.1 % of the mot_clean dataset. Note, that additional iterations were tested and this sample size gave a good representation of categorical and numerical variables when compared to the big data **for this specific example**. + +### Taking the sample + +Now that sample size has been determined we can input this into standard sampling functions in Pyspark or SparklyR to take the sample for EDA. For more information on using sampling functions please refer to our [guidance](../spark-functions/sampling) on this specifically. + +First, you need to set determine `fraction`, this is needed when using sampling functions in Pyspark and SparklyR. If you want to input your own sample size do this here, or input it directly into the sampling functions. + +````{tabs} +```{code-tab} py + +fraction = sample_size/mot_clean_size + +mot_sample = mot.sample(withReplacement = None, + fraction = fraction, + seed = 99) +mot_sample.count() +``` + +```{code-tab} r R + +fraction <- sample_size/mot_clean_size %>% print() +mot_sample <- mot_clean %>% sparklyr::sdf_sample(fraction, replacement=FALSE, seed = 99) +mot_sample %>% sparklyr::sdf_nrow() + +``` +```` + +````{tabs} +``` {code-tab} plaintext Python Output + +39606 + +``` + +```{code-tab} plaintext R Output + +37660 + +``` +```` +Once the sample has been taken it can be exported. Bare in mind that although you have sampled your original dataframe the partition number is retained. As the sample is much smaller than the original dataframe we can re-partition the sample data using `.coalesce()` in Pyspark or `sdf_coalesce()` in SparklyR. Please remember to close the Spark session after your have exported your data. + +````{tabs} +```{code-tab} py + +# It is best practice to always stop a Spark session. +spark.stop() + +``` + +```{code-tab} r R +```r +### writing out to s3 bucket +# mot_sample %>% +# sparklyr::sdf_coalesce(1) %>% +# sparklyr::spark_write_csv(mot_sample, +# path = "s3a://onscdp-dev-data01-5320d6ca/bat/dapcats/mot_eda_sample_0.1.csv", +# header = TRUE, +# mode = 'overwrite') + +### writing out to current directory +write.csv(mot_sample, file = "mot_eda_sample_0.1.csv", row.names = FALSE) + +# It is best practice to always stop a Spark session. +spark_disconnect(sc) +``` +```` +## EDA on a big data sample + +Now you have your sample taken and exported you can carry out the EDA. As long as your sample is small enough then Spark is no longer needed and you can carry out the EDA in a normal session using Python or R. Once the data is read in, you will apply similar functions to those used on the big data above; remember that you are now working in Python or R, not Spark, therefore the functions may be different and we can produce results and plots much quicker. Also, Spark uses 'estimations' for results, which is not the case for Python and R. + +````{tabs} +```{code-tab} py +import pandas as pd + +# Read in the sample data ready for EDA +mot_eda_sample = pd.read_csv("D:/repos/ons-spark/ons-spark/data/mot_eda_sample_0.1.csv") + +# Check the schema and datatypes and preview data +mot_eda_sample.info() +mot_eda_sample.head() + +``` + +```{code-tab} r R +# Read in the sample data ready for EDA +mot_eda_sample <- read.csv("D:/repos/ons-spark/ons-spark/data/mot_eda_sample_0.1.csv") + +# Check schema and preview data +pillar::glimpse(mot_eda_sample) + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + + +RangeIndex: 37660 entries, 0 to 37659 +Data columns (total 7 columns): + # Column Non-Null Count Dtype +--- ------ -------------- ----- + 0 vehicle_id 37660 non-null int64 + 1 test_date 37660 non-null object + 2 test_mileage 37660 non-null int64 + 3 postcode_area 37660 non-null object + 4 make 37660 non-null object + 5 colour 37660 non-null object + 6 cylinder_capacity 37660 non-null int64 + + +dtypes: int64(3), object(4) +memory usage: 2.0+ MB + + vehicle_id test_date test_mileage postcode_area make colour cylinder_capacity +0 936278007 2023-04-28 42480 ML NISSAN ORANGE 998 +1 858355106 2023-04-28 42340 NE KAWASAKI BLACK 553 +2 1027196372 2023-04-28 93433 GL FIAT BLUE 1242 +3 1397627616 2023-04-28 217404 B TOYOTA GREY 1798 +4 384731403 2023-05-03 4592 DN YAMAHA WHITE 125 + +``` + +```{code-tab} plaintext R Output + +Rows: 37,660 +Columns: 7 +$ vehicle_id 936278007, 858355106, 1027196372, 1397627616, 384731… +$ test_date "2023-04-28", "2023-04-28", "2023-04-28", "2023-04-2… +$ test_mileage 42480, 42340, 93433, 217404, 4592, 6801, 11466, 1259… +$ postcode_area "ML", "NE", "GL", "B", "DN", "CT", "PR", "W", "NW", … +$ make "NISSAN", "KAWASAKI", "FIAT", "TOYOTA", "YAMAHA", "T… +$ colour "ORANGE", "BLACK", "BLUE", "GREY", "WHITE", "SILVER"… +$ cylinder_capacity 998, 553, 1242, 1798, 125, 765, 1078, 124, 1497, 125… + +``` +```` + +````{tabs} +```{code-tab} py +# Again, check the data types of each column in the dataframe, change them if necessary + +mot_eda_sample['test_date'] = pd.to_datetime(mot_eda_sample['test_date']) +mot_eda_sample['colour'] = pd.Categorical(mot_eda_sample['colour']) +mot_eda_sample['make'] = pd.Categorical(mot_eda_sample['make']) + +``` + +```{code-tab} r R + +# Again, check the data types of each column in the dataframe, change them if necessary + +mot_eda_sample <- mot_eda_sample %>% + dplyr::mutate(test_date = as.Date(test_date)) %>% + dplyr::mutate_at(c("make", "colour"), as.factor) + +``` +```` + +A good place to start with EDA is to calculate the descriptive statistics of your sample data set. This will give you a nice overview of the data. For numerical variables you get: quartiles, min, max, mean values and number of NA's and for categorical variables you get a snippet of the count data for groups within a column. It is also a good idea to save your summary statistics as a variable, you may one to use these later for further analysis. + +````{tabs} +```{code-tab} py + +summary = mot_eda_sample.describe() +print(summary) + +# you can also use .describe() on specified cateogircal columns +mot['colour].describe() + +``` + +```{code-tab} r R + +summary <- summary(mot_eda_sample) +summary + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + + vehicle_id test_date test_mileage \ +count 3.766000e+04 37660 37660.000000 +mean 7.491470e+08 2023-07-01 01:07:08.635156736 75578.674482 +min 3.173600e+04 2023-01-02 00:00:00 6.000000 +25% 3.766455e+08 2023-03-23 00:00:00 39360.750000 +50% 7.469845e+08 2023-07-06 00:00:00 67142.500000 +75% 1.122075e+09 2023-10-02 00:00:00 101951.250000 +max 1.499980e+09 2023-12-31 00:00:00 999999.000000 +std 4.327012e+08 NaN 48708.057036 + + cylinder_capacity +count 37660.000000 +mean 1696.151275 +min 48.000000 +25% 1329.000000 +50% 1597.000000 +75% 1995.000000 +max 7300.000000 +std 595.992351 + +mot['colour'].describe() +count 37660 +unique 20 +top WHITE +freq 7366 +Name: colour, dtype: object + +``` + +```{code-tab} plaintext R Output +vehicle_id test_date test_mileage postcode_area + Min. :3.174e+04 Min. :2023-01-02 Min. : 6 Length:37660 + 1st Qu.:3.766e+08 1st Qu.:2023-03-23 1st Qu.: 39361 Class :character + Median :7.470e+08 Median :2023-07-06 Median : 67142 Mode :character + Mean :7.491e+08 Mean :2023-07-01 Mean : 75579 + 3rd Qu.:1.122e+09 3rd Qu.:2023-10-02 3rd Qu.:101951 + Max. :1.500e+09 Max. :2023-12-31 Max. :999999 + + make colour cylinder_capacity + FORD : 5233 WHITE :7366 Min. : 48 + VAUXHALL : 3495 BLACK :7110 1st Qu.:1329 + VOLKSWAGEN : 3420 BLUE :5923 Median :1597 + MERCEDES-BENZ: 2086 SILVER :5878 Mean :1696 + BMW : 2020 GREY :5614 3rd Qu.:1995 + AUDI : 1868 RED :3665 Max. :7300 + (Other) :19538 (Other):2104 + +``` +```` +Applying correlation functions to your sample data can be used to check whether the patterns in collinearity revealed during pre-sampling have been maintained post-sampling. + +````{tabs} +```{code-tab} py + +mot_eda_sample.corr(numeric_only = True) + +``` + +```{code-tab} r R + +correlation_data <- mot_eda_sample[, c("vehicle_id", "test_mileage", "cylinder_capacity")] +cor(correlation_data) + +``` +```` + + +````{tabs} +```{code-tab} plaintext Python Output + + vehicle_id test_mileage cylinder_capacity +vehicle_id 1.000000 0.006824 -0.004033 +test_mileage 0.006824 1.000000 0.270533 +cylinder_capacity -0.004033 0.270533 1.000000 + +``` + +```{code-tab} plaintext R Output + + vehicle_id test_mileage cylinder_capacity +vehicle_id 1.000000000 0.00682399 -0.004033095 +test_mileage 0.006823990 1.00000000 0.270533043 +cylinder_capacity -0.004033095 0.27053304 1.000000000 + +``` +```` +To take a deeper dive into your sample data you can apply `group_by()` and `summarise()` from the `dplyr` package in R or `groupby()` and `.agg()` in Python. By using these functions you can filter your data to get the answers you want. By grouping data you can select one or more columns to group your data by, for example `colour`. Then, through summary and aggregation you can apply additional functions: + +- `mean()` and `median()` can be used to find the center of your data +- `min()` and `max()` give the range of your data +- `sd()` and `IQR()` give the spread of your data +- `n()` and `n_distinct` give count data +- this is not an exhaustive list so if you want to know anything else use google, there is likely a function! + +In this first example we will determine the most popular car colour - note that the method applied here could be used for any of the categorical variables in the data frame. We will group the data by `colour`, determine the the count data, mutate this into a percentage and arrange the output data. + +````{tabs} +```{code-tab} py + +colour_percentage = ( + mot_eda_sample + .groupby('colour') + .agg(count=('colour','size')) + .assign(percentage=lambda df: (df['count'] / len(mot_eda_sample)) * 100) + .sort_values(by='percentage', ascending=False) + .reset_index() +) + +print(colour_percentage) + +``` + +```{code-tab} r R + +colour_percentage <- mot_eda_sample %>% + dplyr::group_by(colour) %>% + dplyr::summarise(count = length(colour)) %>% + dplyr::mutate(percentage = count/(nrow(mot_eda_sample))*100) %>% + arrange(desc(percentage)) + +``` +```` +````{tabs} +```{code-tab} plaintext Python Output + + colour count percentage +0 WHITE 7366 19.559214 +1 BLACK 7110 18.879448 +2 BLUE 5923 15.727562 +3 SILVER 5878 15.608072 +4 GREY 5614 14.907063 +5 RED 3665 9.731811 +6 GREEN 691 1.834838 +7 ORANGE 286 0.759426 +8 YELLOW 237 0.629315 +9 BROWN 224 0.594796 +10 BEIGE 220 0.584174 +11 PURPLE 124 0.329262 +12 BRONZE 95 0.252257 +13 GOLD 78 0.207116 +14 TURQUOISE 40 0.106213 +15 PINK 30 0.079660 +16 MAROON 29 0.077005 +17 CREAM 25 0.066383 +18 MULTI-COLOUR 24 0.063728 +19 NOT STATED 1 0.002655 + +``` + +```{code-tab} plaintext R Output + +# A tibble: 20 × 3 + colour n percentage + + 1 WHITE 7366 19.6 + 2 BLACK 7110 18.9 + 3 BLUE 5923 15.7 + 4 SILVER 5878 15.6 + 5 GREY 5614 14.9 + 6 RED 3665 9.73 + 7 GREEN 691 1.83 + 8 ORANGE 286 0.759 + 9 YELLOW 237 0.629 +10 BROWN 224 0.595 +11 BEIGE 220 0.584 +12 PURPLE 124 0.329 +13 BRONZE 95 0.252 +14 GOLD 78 0.207 +15 TURQUOISE 40 0.106 +16 PINK 30 0.0797 +17 MAROON 29 0.0770 +18 CREAM 25 0.0664 +19 MULTI-COLOUR 24 0.0637 +20 NOT STATED 1 0.00266 + +``` +```` + +As well as calculating descriptive statistics it is important to visualize your data. Plots helps you see the spread of the data, to assess skew and to spot whether anomalies or nulls are present. In this example, we have applied `mean()` to show the mean `test_mileage` of cars grouped by `colour`. The argument `na.rm` has been added to the `summarise()` function which lets you decide whether you want NA values removing or leaving in the calculations. A bar chart has been used for visualisation. + +````{tabs} +```{code-tab} py + +mean_mileage = ( + mot_eda_sample + .groupby('colour') + .agg(mean_mileage=('test_mileage','mean')) + .sort_values(by='mean_mileage', ascending=False) + .reset_index() +) + +print(mean_mileage) + +``` + +```{code-tab} r R + +mean_mileage <- mot_eda_sample %>% + group_by(colour) %>% + summarise(mean_mileage = mean(test_mileage, na.rm = TRUE)) %>% + arrange(desc(mean_mileage)) %>% + print() + +``` +```` + +````{tabs} +```{code-tab} plaintext Python Output + + colour mean_mileage +0 SILVER 86479.125043 +1 GOLD 83671.474359 +2 MAROON 83003.137931 +3 GREEN 81787.465991 +4 BEIGE 81261.990909 +5 WHITE 76983.261879 +6 BLACK 76787.602532 +7 BLUE 74151.760425 +8 YELLOW 73962.924051 +9 BROWN 72189.325893 +10 BRONZE 71280.473684 +11 GREY 69890.805843 +12 MULTI-COLOUR 66295.791667 +13 RED 65283.650750 +14 TURQUOISE 63925.875000 +15 PURPLE 63629.895161 +16 CREAM 54210.720000 +17 ORANGE 53829.835664 +18 PINK 50783.933333 +19 NOT STATED 7712.000000 + +``` + +```{code-tab} plaintext R Output + +# A tibble: 20 × 2 + colour mean_mileage + + 1 SILVER 86479. + 2 GOLD 83671. + 3 MAROON 83003. + 4 GREEN 81787. + 5 BEIGE 81262. + 6 WHITE 76983. + 7 BLACK 76788. + 8 BLUE 74152. + 9 YELLOW 73963. +10 BROWN 72189. +11 BRONZE 71280. +12 GREY 69891. +13 MULTI-COLOUR 66296. +14 RED 65284. +15 TURQUOISE 63926. +16 PURPLE 63630. +17 CREAM 54211. +18 ORANGE 53830. +19 PINK 50784. +20 NOT STATED 7712 + +``` +```` + +````{tabs} +```{code-tab} py + +import matplotlib.pyplot as plt + +(mean_mileage.plot(title='mean test mileage by colour', kind='bar', x='colour', y='mean_mileage') + .set(xlabel='colour', ylabel='mean_test_mileage')) + +``` + +```{code-tab} r R + +library(ggplot2) + +ggplot(mean_mileage, aes(x = reorder(colour, -mean_mileage), y = mean_mileage)) + + geom_bar(stat = "identity", fill = "skyblue") + + geom_text(aes(label = round(mean_mileage, 0)), vjust = 1, angle = 45) + + labs( + title = "Mean Mileage by Car Colour", + x = "Car Colour", + y = "Mean Mileage" + ) + + theme_minimal() + + theme(axis.text.x = element_text(angle = 45, hjust = 1)) + +``` +```` + +````{tabs} +```{tab} Python Output +```{figure} ../images/mean_test_mileage_colour_python.png +--- +width: 100% +name: MeanTestMileageVsColourPython +alt: A diagram showing mean test mileage vs colour for 2023 MOT sample data using Python. +--- +``` + +```{tab} R Output +```{figure} ../images/mean_test_mileage_colour_R.png +--- +width: 100% +name: MeanTestMileageVsColourR +alt: A diagram showing mean test mileage vs colour for 2023 MOT sample data using R. +--- +``` +```` + +### Further Resources + +Spark at the ONS Articles: +- [Big data workflow](https://best-practice-and-impact.github.io/ons-spark/spark-analysis/big-data-workflow.html) +- [Sampling: an overview](https://best-practice-and-impact.github.io/ons-spark/spark-functions/sampling.html) +- [Working with duplicates](https://best-practice-and-impact.github.io/ons-spark/spark-analysis/working-with-duplicates.html) + diff --git a/utilities/convert.py b/utilities/convert.py index fc8c98be..ac0d0c6b 100644 --- a/utilities/convert.py +++ b/utilities/convert.py @@ -1,13 +1,13 @@ from notebook_converter import markdown_from_notebook # Group: Which chapter does this work belong in once converted -group = "ancillary-topics" +group = "spark-analysis" # What is the name of the folder the .ipynb is located in -folder = "working-with-duplicates" +folder = "sampling-for-eda" # What is the name of the .ipynb folder -page = "working-with-duplicates" +page = "sampling-for-eda" # The path to the folder named above (can be relative or absolute path) base_path = "ons-spark/"