Module 11: Single Factor ANOVA Flashcards

1
Q

F test use

A

-evaluate difference in variance in 2 groups

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2
Q

F test ratio of variances (f score)

A

-Fo: s2a / s2b
-s2a is for variance in first group
-s2b is for variance in second group

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3
Q

F test null and alternative

A

-Ho: F =1
-Ha: F =/ 1

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4
Q

F test null distribution shape

A
  • f distribution
    -looks more like a chi squared test
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5
Q

F test degrees of freedom

A

-dfa: na - 1
-dfb: nb -1
-na is for number of sampling units in group a
-nb is for number of sampling units in group b

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6
Q

F test reporting

A

-mean, SD, and sample size for each group
-observed f score (2 decimal places)
-degrees of freedom
-p value

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7
Q

Single factor anova use

A

-one numerical and one categorical variable

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8
Q

Sources of variation for ANOVA

A

-residual variation: variation among sample units within a categorical level
-group variation: variation among categorical levels

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9
Q

ANOVA f score

A

-compares residual variation to group variation
-F0= group variation / residual variation

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10
Q

ANOVA null and alternative

A

-statement of means: written first
-Ho: u1 = u2 …
-Ha: u1 =/ u2 …

-f test written second
-Ho: f <= 1
-Ha: f > 1

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11
Q

F score null distribution shape

A
  • f distribution
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12
Q

ANOVA degrees of freedom

A

-dfg: k - 1
-dfe: n - k
-k is for number of levels in categorical variable
-n is for total sampling units

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13
Q

ANOVA reporting

A

-mean, SD, and sample size for each group
-observed F score
-degrees of freedom
-p value

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14
Q

TukeyHSD test

A

-compares means of all possible differences

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