Jeopardy Opening

Robert Lee | UOIT

Game Board

$200 $200 $200 $200 $200

$400 $400 $400 $400 $400

$10 0 $10 0 $10 0 $10 0 $10 0

$300 $300 $300 $300 $300

$500 $500 $500 $500 $500

Multiple Comparisons

1-way ANOVA

2-way ANOVA

ANOVA Surprise!

Random

Multiple Comparisons: $100

Using the Bonferroni formula, if I do 7 comparisons and want to keep my familywise error rate at .05, what is my per-comparison error rate going to be? .05/7 = .007

Multiple Comparisons : $200

For an independent variable with 7 levels, how many possible pairwise comparisons are there?

7(7-1)/2 = 7*6/2 = 21

Multiple Comparisons : $300

In addition to reducing the PC error rate, what is the other way to control the FW error rate?

Make fewer comparisons.

Multiple Comparisons : $400

In a study with 5 groups, each with 10 participants, I do a pairwise t test on the comparison between group 2 and group 5. What are the df for this test?

k(n-1) = 5*9 = 45 (because my pooled standard deviation comes from 5 groups, not 2)

Multiple Comparisons : $500

In an experiment with one IV, the treatment means are M1 = 1, M2 = 2, M3 = 3, and M4=4. Calculate the value of the contrast specified by the coefficients (-1, -1, -1, +3).

-1 + (-2) + (-3) + 12 = +6

1-way ANOVA: $100

If the null hypothesis is true, what is the expected value of F?

11

Category 2: $200

AnswerAnswer

QuestionQuestion

1-way ANOVA $300

If the result of a 1-way ANOVA is F(3, 46) = 4.94, p = .005, what is the total sample size?

5050

1-way ANOVA : $400

In a 1-way ANOVA, Jack scores a 12. The average of his group (i.e., that received the same level of the independent variable) is 15, and the grand mean is 10. What is the treatment term for Jack’s score?

5 (Mj – M = 15 – 10 = 5)

1-way ANOVA : $500

What is the F value in this table What is the F value in this table (4 treatments, with 4 (4 treatments, with 4 participants in each)?participants in each)?

1616

Source SS df MS F

treatment

error 24  

total 120    

2-way ANOVA: $100

3 (main effect of A, main effect of B, and A*B interaction)

In the structural model for a 2-way ANOVA, how many treatment effects are there?

2-way ANOVA : $200

In a 6 x 2 design, how many simple effects are possible?

88

2-way ANOVA : $300

In a 6 x 2 design with n = 5, how many participants are there

6060

2-way ANOVA : $400

In a 4 x 5 ANOVA with n = 5, what is dfError?

80. 4 x 5 = 20 cells, with 5 participants each, so N = 100, and dftotal = 99. dfA = 3, dfB = 4, and dfAB = 12, which leaves 80 dfError.

2-way ANOVA : $500

In the table above, what is the F value for the omnibus test?

SSExplained = 24, df = 5, MS = 4.8, F = 2.4

Source SS df MS F

Illustration 2 1 2 1

Sentence 12 2 6 3

Illustration Sentence 10 2 5 2.5

Error 188 94 2  

Total 212 99    

ANOVA Surprise!: $100

True or false: The between estimate of population variance is only accurate when the null hypothesis is true.

TrueTrue

ANOVA Surprise!: $200

What type of analysis looks at the effect of one Factor on the DV at each level of the other factor?

Simple effect

ANOVA Surprise!: $300

In a 1-way ANOVA with 5 treatment groups (n = 10), how many terms will be summed to calculate SSTreatment?

50

ANOVA Surprise!: $400

ANOVA Surprise!: $500

What is ak for all participants in cell22?

M2. – M.. = 10 – 15 = -5

  B1 B2 B3 B4  

A1         5

A2   M22 = 14     10

A3         30

  5 15 15 25 15

Random: $100

In a 2-way ANOVA, how many interactions are possible?

11

Random : $200

What is the main problem with the Bonferroni adjustment?

It overestimates the true FW error rate.

Random : $300

In an experiment with one IV, the treatment means are M1 = 1, M2 = 2, M3 = 3, and M4=4. For a contrast specified by the coefficients (-1, -1, -1, +3), what is Σα2

1 + 1 + 1 + 9 = 12

Random : $400

Explain in words the following expression:

εi ~ N(σ2).

The errors for each group are distributed normally and with the same variance.

Random : $500

What is wrong with this write-up? The 2-way ANOVA showed that at least one of the factors (or their interaction) had a statistically significant effect on perceived Risk of flying, F(9,541) = 3.274, p = .001. Individually, both Age, F(4,541) = 2.389, p = .050, and Gender, F(541,1) = 6.618, p = .010, had significant main effects on Risk. The AgeGender interaction, however, was not significant, F(4,541) = 1.953, p = .100.

Df for the main effect of Df for the main effect of gender are reversed.gender are reversed.

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Daily Double 1 Wager

In a 1-way ANOVA, what are the 2 components that explain an observation’s deviation from the grand mean?

Treatment effect and an error component (τ + ε)

Daily Double 1 Q & A

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Daily Double 2 Wager

A 2-way ANOVA is robust to which assumption when the design is balanced?

Homogeneity of variance.

Daily Double 2 Q & A

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Final JeopardyWager

The category is:The category is:CalculationsCalculations

What is αβ13?

α1 = M1. – M.. = 5 – 15 = -10. β3 = M.3 – M.. = 15 – 15 = 0.

αβ13 = 8 – (15 -10 +0) = 8-5 = 3

Final Jeopardy Q & A

  B1 B2 B3 B4  

A1     M13 = 8   5

A2         10

A3         30

  5 15 15 25 15

Game Over