Inferential Statistics: Basic Cases
Copyright © 2007–2013 by Stan Brown, Oak Road Systems
Copyright © 2007–2013 by Stan Brown, Oak Road Systems
Summary: This table organizes procedures for basic inferential statistics into a chart of Cases. You may use this page on quizzes beginning with Chapter 9 and on the final exam.
See also: While you’re getting used to the cases, practice with the interactive Triage: Which Inferential Stats Case Should I Use? on the Web page under Chapters 10–12: Inference. and for more cases see Inferential Statistics Cases
| Case Number and Description |
Pop. Param. | TI-83/84/89 Procedures | |
|---|---|---|---|
| NUMERIC DATA
SRS required: n ≥ 30, or sample is normal with no outliers | |||
| 0 | One pop. mean, known σ | μ | CI: ZInterval; HT: Z-Test; sample size: MATH200A part 5 |
| 1 | One pop. mean, unknown σ | μ | CI: TInterval; HT: T-Test; sample size (optional): MATH200A part 5 |
| 3 | Mean difference for paired data | μd | CI: TInterval; HT: T-Test;
(optional) List Operations for Paired t Test on TI-83/84 |
| 4 | Difference of 2 indep. pop. means, unpaired data | μ1, μ2 μ1−μ2 |
CI: 2-SampTInt; HT: 2-SampTTest;
requirements apply to each sample |
| 9 | Linear correlation coefficient | ρ or r | CI: n/a; HT: Decision Points for Correlation Coefficient |
| BINOMIAL DATA | |||
| 2 | One pop. proportion | p | CI: 1-PropZInt; HT: 1-PropZTest
(small sample HT: MATH200A part 3 or binomcdf);
sample size: MATH200A part 5 |
| HT requires SRS, 20n ≤ N, and n po (1−po) ≥ 10
CI requires SRS, 20n ≤ N, and n p̂ (1−p̂) ≥ 10 | |||
| 5 | Difference of 2 pop. proportions | p1, p2 p1−p2 |
CI: 2-PropZInt; HT: 2-PropZTest; sample size: MATH200A part 5 |
| HT requires SRS, 20n1 ≤ N1, 20n2 ≤ N2, and (n1+n2) p̂ (1−p̂) ≥ 10
CI: SRS, 20n1 ≤ N1, 20n2 ≤ N2, n1 p̂1 (1−p̂1) ≥ 10, and n2 p̂2 (1−p̂2) ≥ 10 | |||
| CATEGORICAL DATA
SRS required: (a) every E≥5 or (b) no E<1 and no more than 20% of cells have E<5 | |||
| 6 | Goodness of fit (GOF) or multinomial | none | CI: undefined; HT: MATH200A part 6 (TI-89: Chi2 GOF or Testing Goodness of Fit on TI-89) |
| 7 | Independence or homogeneity (in contingency table) |
none | CI: undefined; HT: χ²-Test or MATH200A part 7
(TI-89: Chi2 2-way) |
Acknowledgement: This table was inspired by Dabes & Janik’s Statistics Manual (1999) page 163; I have modified the format substantially.
This page is used in instruction at Tompkins Cortland Community College in Dryden, New York; it’s not an official statement of the College. Please visit www.tc3.edu/instruct/sbrown/ to report errors or ask to copy it.
For updates and new info, go to http://www.tc3.edu/instruct/sbrown/stat/