{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Static Mapping: Car Data\n",
"\n",
"As a brief introduction into static mapping, this quick demonstration uses perceptual attribute ratings to \n",
"uncover competing cars' relative positioning.\n",
"\n",
"## Background\n",
"\n",
"The data is taken from the following book (with slight modifications): \n",
"```\n",
"[1] Lilien, G. L., & Rangaswamy, A. (2004). Marketing engineering: computer-assisted marketing analysis and planning (2nd revised edition). DecisionPro.\n",
"```\n",
"\n",
"**Last updated:** September 2023\n",
"\n",
"\n",
"Read the **full paper** here (open access): https://doi.org/10.1287/mksc.2022.1385\n",
"\n",
"**Contact:** For questions or feedback, please get in touch."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Loading Example Data\n",
"\n",
"The data for this example consist of two files: \n",
"\n",
"- 'attributes': Perceptual attribute ratings for competing cars\n",
"- 'preferences': Customer preference ratings for these cars\n",
"\n",
"Both files are included within the `evomap.datasets` module. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2022-04-19T13:35:58.274407Z",
"start_time": "2022-04-19T13:35:58.072923Z"
}
},
"outputs": [],
"source": [
"from evomap.datasets import load_car_data\n",
"data = load_car_data()\n",
"df_attributes = data['attributes']\n",
"df_preferences = data['preferences']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by inspecting the attribute data. These data include attribute ratings for the following 10 competing cars:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['G20', 'Ford_T_Bird', 'Audi_90', 'Toyota_Supra', 'Eagle_Talon',\n",
" 'Honda_Prelude', 'Saab_900', 'Pontiac_Firebird', 'BMW_318i',\n",
" 'Mercury_Capri'],\n",
" dtype='object', name='Car')"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"car_labels = df_attributes.index\n",
"car_labels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each car has been rated along 15 perceptual attributes."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2022-04-19T13:35:58.290333Z",
"start_time": "2022-04-19T13:35:58.277368Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Index(['Attractive', 'Quiet', 'Unreliable', 'Poorly.Built', 'Interesting',\n",
" 'Sporty', 'Uncomfortable', 'Roomy', 'Easy.to.Service', 'High.Prestige',\n",
" 'Common', 'Economical', 'Successful', 'Avant.garde', 'Poor.Value'],\n",
" dtype='object')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_attributes.columns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each attribute value represents averages of a customer survey:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Attractive 5.6\n",
"Quiet 6.3\n",
"Unreliable 2.9\n",
"Poorly.Built 1.6\n",
"Interesting 3.6\n",
"Sporty 4.1\n",
"Uncomfortable 3.2\n",
"Roomy 4.2\n",
"Easy.to.Service 4.6\n",
"High.Prestige 5.4\n",
"Common 3.5\n",
"Economical 3.6\n",
"Successful 5.3\n",
"Avant.garde 4.3\n",
"Poor.Value 3.4\n",
"Name: G20, dtype: float64"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_attributes.loc['G20']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Derive Car Positioning\n",
"\n",
"To project these 15-dimensional vectors for each car onto the two-dimensional plane, we can use Classical Multidimensional Scaling (CMDS). \n",
"CMDS, also known as Principal Coordinates Analysis, takes a matrix of pairwise distances, and creates a low-dimensional configuration of points via Eigendecomposition of the distance matrix. \n",
"\n",
"Thus, as a first step, construct a pairwise distance matrix:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0. , 5.28, 2.93, 3.48, 5.75, 2.7 , 3.11, 6.08, 2.29, 5.59],\n",
" [5.28, 0. , 4.42, 4.75, 2.28, 4.35, 4.98, 1.82, 5.67, 1.97],\n",
" [2.93, 4.42, 0. , 4.58, 5.25, 3.76, 2.76, 5.39, 3.21, 5.1 ],\n",
" [3.48, 4.75, 4.58, 0. , 5.46, 3.51, 3.95, 4.73, 3.41, 4.91],\n",
" [5.75, 2.28, 5.25, 5.46, 0. , 4.26, 5.35, 3.01, 6.19, 0.99],\n",
" [2.7 , 4.35, 3.76, 3.51, 4.26, 0. , 3.27, 5.12, 3.07, 4.19],\n",
" [3.11, 4.98, 2.76, 3.95, 5.35, 3.27, 0. , 5.9 , 2.69, 5.07],\n",
" [6.08, 1.82, 5.39, 4.73, 3.01, 5.12, 5.9 , 0. , 6.34, 2.49],\n",
" [2.29, 5.67, 3.21, 3.41, 6.19, 3.07, 2.69, 6.34, 0. , 5.85],\n",
" [5.59, 1.97, 5.1 , 4.91, 0.99, 4.19, 5.07, 2.49, 5.85, 0. ]])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from evomap.preprocessing import calc_distances\n",
"dist_mat = calc_distances(df_attributes)\n",
"dist_mat.round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, apply CMDS to this matrix. Syntax follows the `scikit-learn` library:\n",
"\n",
"First, you intialize the model. Then, you `fit()` it to data. `fit_transform()` directly returns the resultant output (in this case: a two-dimensional array of map coordinates). "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-2.54, 0.04],\n",
" [ 2.43, -0.3 ],\n",
" [-1.53, -1.68],\n",
" [-1.09, 2.61],\n",
" [ 2.9 , -0.79],\n",
" [-1. , 0.11],\n",
" [-2.01, -0.98],\n",
" [ 3.1 , 0.95],\n",
" [-2.96, 0.27],\n",
" [ 2.71, -0.23]])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from evomap.mapping import CMDS\n",
"map_coords = CMDS(n_dims= 2).fit_transform(dist_mat)\n",
"map_coords.round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The resultant coordinates can then be visualized in a 2D map"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from evomap.printer import draw_map\n",
"import numpy as np\n",
"map = draw_map(\n",
" map_coords, \n",
" label = car_labels, \n",
" fig_size = (7,7))\n",
"map"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Explain Positioning via Property Fitting\n",
"\n",
"The map already reveals which pairs of products compete strongly vs. weakly.\n",
"A natural next question is: What drives these positions? I.e., how do these map positions relate to the competing cars' perceptual attributes?\n",
"\n",
"To answer this question, `evomap` allows to fit attributes to the derived map positions (and visualize their relationship via vectors)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from evomap.printer import fit_attributes\n",
"map = draw_map(\n",
" map_coords, \n",
" label = car_labels, \n",
" fig_size = (7,7),\n",
" size = 30)\n",
"\n",
"map = fit_attributes(map_coords, df_attributes, map)\n",
"map"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From this map, it becomes apparant what differentiates the competing car brands from one another."
]
}
],
"metadata": {
"interpreter": {
"hash": "87ffa25eb3bb30b413c256579b892ccdc10cf1c52e8cd490d95c13bdebb280f2"
},
"kernelspec": {
"display_name": "evomap-package",
"language": "python",
"name": "evomap-package"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.17"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}