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. |
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