80 lines
2.4 KiB
Plaintext
80 lines
2.4 KiB
Plaintext
|
{
|
||
|
|
"cells": [
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [],
|
||
|
|
"source": [
|
||
|
|
"%matplotlib widget\n",
|
||
|
|
"from collections.abc import Iterable\n",
|
||
|
|
"\n",
|
||
|
|
"import matplotlib.pyplot as plt\n",
|
||
|
|
"import numpy as np\n",
|
||
|
|
"from scipy.stats import chi2\n",
|
||
|
|
"import math\n",
|
||
|
|
"from fractions import Fraction as F"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"metadata": {},
|
||
|
|
"source": [
|
||
|
|
"# AS\n",
|
||
|
|
"This contains automations for A-level (AS) Maths stats ordered in the same way as they are on [integral maths](https://my.integralmaths.org/)."
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "markdown",
|
||
|
|
"metadata": {},
|
||
|
|
"source": [
|
||
|
|
"## Collecting and Interpreting Data\n",
|
||
|
|
"### Sampling\n",
|
||
|
|
"- Simple random sampling\n",
|
||
|
|
" - Random procedure\n",
|
||
|
|
" - e.g. drawing tickets, random number generator\n",
|
||
|
|
" - In a finite sample space, all candidates have an equal chance of being selected\n",
|
||
|
|
" - Sampling is done without replacement\n",
|
||
|
|
" - Selections are independent\n",
|
||
|
|
"- Cluster sampling\n",
|
||
|
|
" - Only some subgroups of a sample space are selected\n",
|
||
|
|
" - Only appropriate when subgroups are reasonably representative of the entire sample space\n",
|
||
|
|
"- Opportunity sampling\n",
|
||
|
|
" - Selection by opportunity\n",
|
||
|
|
" - e.g. interviewing passers by on a street\n",
|
||
|
|
"- Stratified sampling\n",
|
||
|
|
" - Used when sample space can be divided into subgroups (strata)\n",
|
||
|
|
" - ... to ensure all strata are sampled\n",
|
||
|
|
" - Weighting needs to be used if numbers of samples from each strata are not proportional to the size of the strata\n",
|
||
|
|
"- Quota sampling\n",
|
||
|
|
" - Same as stratified sampling with a quota for each strata\n",
|
||
|
|
"- Self-selected sample\n",
|
||
|
|
" - Individuals chose to be sampled\n",
|
||
|
|
" - e.g. online poll\n",
|
||
|
|
"- Systematic sampling\n",
|
||
|
|
" - Systematic procedure\n",
|
||
|
|
" - e.g. every 10th person on alphabetically sorted list"
|
||
|
|
]
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"metadata": {
|
||
|
|
"kernelspec": {
|
||
|
|
"display_name": "Python 3",
|
||
|
|
"language": "python",
|
||
|
|
"name": "python3"
|
||
|
|
},
|
||
|
|
"language_info": {
|
||
|
|
"name": "python",
|
||
|
|
"version": "3.9.2 (default, Feb 28 2021, 17:03:44) \n[GCC 10.2.1 20210110]"
|
||
|
|
},
|
||
|
|
"orig_nbformat": 4,
|
||
|
|
"vscode": {
|
||
|
|
"interpreter": {
|
||
|
|
"hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
|
||
|
|
}
|
||
|
|
}
|
||
|
|
},
|
||
|
|
"nbformat": 4,
|
||
|
|
"nbformat_minor": 2
|
||
|
|
}
|