TC3 → Stan Brown → Statistics → Inferential Stats Cases
revised 12 May 2013

Inferential Statistics Cases

Copyright © 2007–2013 by Stan Brown, Oak Road Systems

Summary: This table organizes procedures for inferential statistics into a chart of Cases. If you print this page, use Landscape mode for best results.

See also: Triage: Which Inferential Stats Case Should I Use?

Case Number
and Description
Pop. Param. TI-83/84/89 Procedures
★ The starred cases are not required for TC3 MATH200. For just the MATH200 cases, see Inferential Statistics: Basic Cases.
NUMERIC DATA
SRS required: n ≥ 30, or sample is normal with no outliers
0One pop. mean, known σ μ CI: ZInterval; HT: Z-Test; sample size: MATH200A part 5
1One pop. mean, unknown σ μ CI: TInterval; HT: T-Test; sample size (optional): MATH200A part 5
1S★One pop. standard dev. σ CI and HT: MATH200B part 5 (not TI-89)
3Mean difference for paired data μd CI: TInterval; HT: T-Test; (optional) List Operations for Paired t Test on TI-83/84
4Difference of 2 indep. pop. means, unpaired data μ1, μ2
μ1−μ2
CI: 2-SampTInt; HT: 2-SampTTest;
requirements apply to each sample
4S★Two pop. standard dev. σ12 CI: n/a; HT: 2-SampFTest
8★Equality of several pop means μ1, μ2, μ3, ... CI: undefined; HT: ANOVA; see also One-Way ANOVA
9★Linear correlation coefficient ρ or r CI and HT: MATH200B part 6 (TI-89 HT: LinRegTTest)
10B★Slope of regression line β1 CI and HT: MATH200B part 7 (TI-89 CI: LinRegTInt; TI-89 HT: LinRegTTest)
10Y★Predicted values of y μy|xj, yj MATH200B part 7 (not TI-89)
BINOMIAL DATA
2One 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 (1−) ≥ 10
5Difference of 2 pop. proportions p1, p2
p1p2
CI: 2-PropZInt; HT: 2-PropZTest; sample size: MATH200A part 5
HT requires SRS, 20n1 ≤ N1, 20n2 ≤ N2, and (n1+n2) (1−) ≥ 10
CI: SRS, 20n1 ≤ N1, 20n2 ≤ N2, n1 1 (1−1) ≥ 10, and n2 2 (1−2) ≥ 10
CATEGORICAL DATA
SRS required: (a) every E≥5 or (b) no E<1 and no more than 20% of cells have E<5
6Goodness of fit (GOF) or multinomial none CI: undefined; HT: MATH200A part 6 (TI-89: Chi2 GOF or Testing Goodness of Fit on TI-89)
7Independence 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 and added cases 1S, 4S, 8, 9, 10B, 10Y.


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