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## PowerPoint Slideshow about ' Review t-tests' - raven

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Review t-tests

- Single-sample t-test (df = N – 1)
- Independent samples t-test (df = (n1 – 1)+(n2 – 1) )
- Related or paired-samples t-test (df = N – 1)

ANOVA formulas

One-way ANOVA

dftotal = N – 1

dfbetween = k – 1

dfwithin = (n – 1) or N – k

Repeated-measures ANOVA

dftotal = N – 1

dfbetween = k – 1

dfwithin = N – k

dfbetween subjects = n – 1

dferror = dfwithin – dfbetween subjects

One-way ANOVA Repeated-measures ANOVA

Two-way ANOVA

dftotal = N – 1

dfbetween = k – 1 (or # cells -1)

dfwithin = N – k (or (n-1) )

dfA = k – 1 (# rows – 1 for factor A)

dfB = k – 1 (# columns – 1 for factor B)

dfAxB = dfbetween – dfA - dfB

Effect size analyses Paired samples t-test

- Variance accounted for (r2)
- Small >.01
- Medium >.09
- Large > .25

- CI = MD ± t*(sMD)
- Cohen’s d
- Variance accounted for (r2)
- ANOVA: effect size = eta2

- z-test
- CI = M +/- z*(σM)

- One-sample t-test
- CI = M +/- t*(sM)

- Independent t-test
- CI = M1 – M2 +/- t*(sM1-M2)
- Cohen’s d
- Small >.2
- Medium >.5
- Large > .8

Other formulas

- Goodness of fit chi-square
- Frequency table of data
- Observed frequencies (fo)

- Compare to null hypothesis
- Expected frequencies (fe)

- Expected frequency
- fe = pn

- Chi-square equation
- df = C – 1, where C = # of categories

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