jeopardy opening robert lee | uoit game board $ 200 $ 200 $ 200 $ 200 $ 200 $ 400 $ 400 $ 400 $ 400...
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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 $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 : $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!: $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 : $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.
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
A 2-way ANOVA is robust to which assumption when the design is balanced?
Homogeneity of variance.
Daily Double 2 Q & A
How much do you want to wager?How much do you want to wager?
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