repeated_measure_anova
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- | See also, [[ANOVA]], [[: | ||
- | 설명이 불충분하므로, | ||
- | |||
- | ====== Repeated Measures ANOVA ====== | ||
- | Introduction | ||
- | * one-way ANOVA for // | ||
- | * extension of the dependent t-test (one group t-test, repeated measure t-test) | ||
- | * also, within-subjects ANOVA or ANOVA for correlated samples | ||
- | * the simplest one is __one-way repeated measures ANOVA__ | ||
- | * which requires one independent and one dependent variable | ||
- | * the independent variable is categorical (either nominal or ordinal) | ||
- | * the dependent variable is continuous (interval or ratio) | ||
- | |||
- | Test Circumstances | ||
- | * one subject with repeated measures across a time period (differences of mean scores across three or more time periods) | ||
- | * one subject with repeated measures in different situation (treatments; | ||
- | |||
- | LOGICS | ||
- | * $\text{independent ANOVA: } F = \displaystyle \frac{MS_{between}}{MS_{within}} = \frac{MS_{between}}{MS_{error}}$ | ||
- | |||
- | |||
- | * $\text{rep measures ANOVA: } F = \displaystyle \frac{MS_{between}}{MS_{within}} = \displaystyle \frac{MS_{conditions}}{MS_{error}}$ | ||
- | |||
- | * but, $\text{SS}_\text{{within}}$ can be partitioned as | ||
- | * $\text{SS}_{\text{ subjects}}$ and $\text{SS}_{\text{ error}}$ | ||
- | * Among the two, we can exclude the first from SS< | ||
- | * and solely use the latter as SS< | ||
- | * This is to say: | ||
- | * in $\text{independent ANOVA: } \text{SS}_\text{{within}} = \text{SS}_{\text{error}} $ | ||
- | * in $\text{rep measures ANOVA: } \text{SS}_\text{{within}} = \text{SS}_{\text{subjects}} + \text{SS}_{\text{error}}$ | ||
- | * This means that the term SS< | ||
- | * But, with this SS< | ||
- | |||
- | ^ Headache Analysis | ||
- | | | base | ||
- | | ser | w1 | w2 | w3 | w4 | w5 | $\overline{X}_{part}$ \\ = average \\ per case \\ (subject, \\ participant) | ||
- | | 1 | 21 | 22 | 8 | 6 | 6 | 12.6 | | ||
- | | 2 | 20 | 19 | 10 | 4 | 9 | 12.4 | | ||
- | | 3 | 7 | 5 | 5 | 4 | 5 | 5.2 | | ||
- | | 4 | 25 | 30 | 13 | 12 | 4 | 16.8 | | ||
- | | 5 | 30 | 33 | 10 | 8 | 6 | 17.4 | | ||
- | | 6 | 19 | 27 | 8 | 7 | 4 | 13 | | ||
- | | 7 | 26 | 16 | 5 | 2 | 5 | 10.8 | | ||
- | | 8 | 13 | 4 | 8 | 1 | 5 | 6.2 | | ||
- | | 9 | 26 | 24 | 14 | 8 | 17 | 17.8 | | ||
- | | average \\ per week | 20.78 | 20.00 | 9.00 | 5.78 | 6.78 | $\overline{X}$ = 12.47 | | ||
- | |||
- | ^ Stats ^^ | ||
- | | Mean Total | 12.47 | | ||
- | | $\Sigma{X_i}$ | 561 | | ||
- | | $\Sigma{{X_i}^2}$ | 10483 | | ||
- | | # of week | 5 | | ||
- | | # of case (n) | 9 | | ||
- | |||
- | SS< | ||
- | SS< | ||
- | SS< | ||
- | SS< | ||
- | = SS< | ||
- | = SS< | ||
- | = 721.1 \\ | ||
- | \\ | ||
- | df< | ||
- | df< | ||
- | df< | ||
- | df< | ||
- | df< | ||
- | |||
- | ====== ie ====== | ||
- | ^ 시각적 인지점수 | ||
- | |참가자 | No visual distraction | Visual distraction | Sound Distraction | | ||
- | | A | 47 | 22 | 41 | | ||
- | | B | 57 | 31 | 52 | | ||
- | | C | 38 | 18 | 40 | | ||
- | | D | 45 | 32 | 43 | | ||
- | |||
- | ====== reference ====== | ||
- | * [[http:// | ||
- | * {{: | ||
- | * http:// | ||
- | * https:// | ||
repeated_measure_anova.txt · Last modified: 2023/05/03 08:04 by hkimscil