statsutils/as.ipynb

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2023-02-08 20:35:52 +00:00
{
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"%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"
]
},
{
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"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/)."
]
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"## 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"
]
}
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