Stats without Tears
Inferential Statistics: Basic Cases
Updated 29 Dec 2014
(What’s New?)
Copyright © 2007–2023 by Stan Brown, BrownMath.com
Updated 29 Dec 2014
(What’s New?)
Copyright © 2007–2023 by Stan Brown, BrownMath.com
Summary: This table organizes procedures for basic inferential statistics into a chart of Cases. (The Case numbers are useful for reference, although they are not standard statistics terminology.) All links are live in the online version of this page.
Case Number and Description |
Pop. Param. |
TI-83/84/89 Procedures (CI=conf int, HT=hypothesis test, SS=sample size) All require random sample or randomization, and 10n ≤ N; additional requirements are noted in each case. | |
---|---|---|---|
NUMERIC DATA — INFERENCES ABOUT MEANS | |||
1 | One pop. mean, unknown σ | μ | Required: n ≥ about 30 or normal with no outliers.
CI: TInterval ; HT: T-Test
SS: MATH200A part 5 |
3 | Mean difference for paired data | μd | Required: n ≥ about 30, or differences are normal with no outliers.
CI: TInterval using the differences; HT: T-Test using the differences |
4 | Difference of 2 indep. pop. means, unpaired data | μ1, μ2 or μ1−μ2 |
Required: in each sample, n ≥ about 30 or normal with no outliers.
CI: 2-SampTInt ; HT: 2-SampTTest |
YES/NO COUNTS — INFERENCES ABOUT PROPORTIONS | |||
2 | One pop. proportion | p | CI: 1-PropZInt ; requires ≥ 10 successes and ≥ 10 failures in sample.
HT: 1-PropZTest ; requires expected successes npo ≥ 10 and expected failures n−npo ≥ 10.
HT w/ small samples: MATH200A part 3 or binomcdf
SS: MATH200A part 5 |
5 | Difference of 2 pop. proportions | p1, p2 p1−p2 |
CI: 2-PropZInt ; each sample requires ≥ 10 successes and ≥ 10 failures.
HT: 2-PropZTest ; requires same as CI. If that’s not met, use pooled p̂ to test that n1p̂, n1−n1p̂, n2p̂, n2−n2p̂ are all ≥ 10.
SS: MATH200A part 5 |
CATEGORY COUNTS — INFERENCES ABOUT MODELS | |||
6 | Goodness of fit (GOF) or multinomial | none | CI: undefined; HT: MATH200A part 6
TI-89 HT: Chi2 GOF or How to Test Goodness of Fit on TI-89
Required: every expected value ≥ about 5. |
7 | Independence or homogeneity (in 2-way table) |
none | CI: undefined; HT: χ²-Test or MATH200A part 7
TI-89 HT: Chi2 2-way
Required: every expected value ≥ about 5. |
Updates and new info: https://BrownMath.com/swt/