test 4 Flashcards

1
Q

When do you use one-way between subjects ANOVA?

A
  • 2 variables
  • independent groups design
  • IV has more than 2 variables
  • DV is interval level
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2
Q

Why not do pairwise tests?

A
  • would increase probability of making Type I error

- ANOVA f- ratio provides a single omnibus (overall) test of null hypothesis

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3
Q

One-way between-subjects ANOVA hypotheses

A

Ho: σ2μj= 0
H1: σ2μj > 0

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4
Q

One-way between-subjects ANOVA assumptions

A
  • normative

- homogeneity of variance

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5
Q

F ratio for one-way between-subjects ANOVA - conceptual

A

F = variance between groups / variance within groups

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6
Q

One-way between-subjects ANOVA partition of sums of squares

A

SS total = SS between + SS within

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7
Q

One-way between-subjects ANOVA degrees of freedom

A

df (BG) = k - 1
df (E) = N - k
df (total) = N - 1

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8
Q

One-way between-subjects ANOVA critical value

A

Look up in table C.3
Numerator: df (BG)
Denominator: df (E)

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9
Q

F ratio

A

F = MS (between) / MS (within)

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10
Q

Tukeys HSD Test

A

in one-way between-subjects ANOVA
- tells us which pairwise comparisons are significantly different from one another
1. calculate differences between all the pairs of means
2. use Tukey’s CD
3. q is in table C. 4
Any difference in pairwise comparisons of means that meets or exceeds the CD (in abs val) is significant

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11
Q

When is one-way repeated measures ANOVA used?

A
  • 2 variables
  • IV has more than 2 levels
  • DV is interval level
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12
Q

one-way repeated measures ANOVA key assumptions

A
  • normality

- sphericity (equal variances for all treatments and each participants’ scores are related across treatments

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13
Q

one-way repeated measures ANOVA hypotheses

A

Ho: σ2μj = 0
H1: σ2μj > 0

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14
Q

F- ratio one-way repeated measures ANOVA- conceptual

A

F = variance between treatment means/ error variance

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15
Q

one-way repeated measures ANOVA partitioning 2 sources of error

A

SS (BP): overall individual differences on the DV (controlled by design)

SS (E): individual differences in the way that IV influences scores on DV

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16
Q

one-way repeated measures ANOVA partitioning of SS

A

SS (T) = SS (BG) + SS (BP) = SS (E)

17
Q

one-way repeated measures ANOVA degrees of freedom

A
df (BG) = k - 1
df (BP)= n - 1
df (E) = (k - 1) (n - 1)
df (T) = kn - 1
Check that df (BG) + df (BP) + df (E) = df (T)
18
Q

one-way repeated measures ANOVA critical value of F

A

numerator: df (BG)
denominator: df (E)

19
Q

Post hoc: Bonferroni procedure

one-way repeated measures ANOVA

A

a way of controlling experiment-wise error rate

testwise alpha = experimentwise alpha / # of pairwise comparisons

find df for all pairwise related-samples t tests

20
Q

When do we use the two-way between subjects ANOVA?

A
  • 3 variables (2 IV, 1 DV)
  • independent groups design
  • DV is interval level
21
Q

two-way between subjects ANOVA key assumptions

A
  • normality

- homogeneity of variance

22
Q

main effects

A

overall effect of an IV, ignoring the effect of the other IV(s)
- compare relevant marginal means

23
Q

interaction

A

conceptual- occurs when the effect of one IV changes over levels of another IV
mathematical- indicated when variability among cells means cannot be accounted for by main effects

24
Q

two-way between subjects ANOVA partition of sums of squares

A

SS (T) = SS (A) + SS (B) + SS (A x B) + SS (E)

25
Q

two-way between subjects ANOVA degrees of freedom

A

df (A) = p - 1
df (B) = q - 1
df (A x B) = (p - 1) (q - 1)
df (E) = pq (n - 1)

26
Q

simple effects analyses

two-way between subjects ANOVA

A
  • pinpoint the nature of a significant interaction
  • significant interaction indicates a significant effect of an IV at one level of the second IV but NOT at another level of that second IV
  • use a one-way between subjects ANOVA to compare levels of one factor for each level of the second factor separately
  • look at notes for procedure