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Midterm

Midterm 1 cheat sheet.docx

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Department
Psychology
Course
PSYC 3000
Professor
Bruce Hutcheon
Semester
Winter

Description
Error Xji – M = Tj+ Eji Total Treatment  If the null hypothesis for simple ANOVA is true then the means of the different samples in the design form a sampling distribution for the mean. True.  In ANOVA, it makes sense to pool variances only if the null hypothesis (that the treatment does not affect the mean value of the dependent variable) is true. False  In ANOVA, it only makes sense to pool variances when the treatment does not affect the population variance. True  In simple ANOVA, the "within" estimate of population variance is derived from the variances of the samples. True  The F ratio used in ANOVA cannot have values smaller than 1. False  In ANOVA we pool together sample variances to form a "within" estimate of population variance because if the null hypothesis that the treatment does not affect the mean is true, the samples form a sampling distribution. False  Suppose a balanced ANOVA design has n=25. If the null hypothesis that the treatment does not affect the mean is true, and the variance of the sample means is 49, what is the "between" estimate for the population variance? 49*25  If you had results from a simple ANOVA design with k=2, you could run either an F-test with 1 between-groups degrees of freedom or an independent-samples t-test and expect to get exactly the same p-value. True  For a simple ANOVA with k=2, the between degrees of freedom is 1. True  Click beside one or more of the designs listed below to indicate which ones are best analyzed with a 1-way ANOVA. 1 interval DV, and 1 nominal IV with 5 levels.  In a 2-way ANOVA, what is the best definition of the F-distribution that is used to test the main effect of A?. The distribution of possible F-values you might get if the marginal means for treatment A do not depend on which level of A you are at.  In a 2-way factorial design, if the test of a particular main or simple effect yields F=2, then you should automatically reject the corresponding null hypothesis. False  In a 2-way factorial design with a = 4, b = 6, and n = 5, how many observations contribute to each marginal mean for treatment B? 20  Suppose you have a 2-way factorial design with a = 4, b = 6, and n = 10 and you want to test the main effect of treatment A. How many different cell means are involved in constructing the estimate of population variance that occurs in the numerator of the appropriate F ratio? NONE  Suppose you have a 2-way factorial design with a = 4, b = 6, and n = 10 and you want to test the main effect of treatment A. How many different marginal means are involved in constructing the estimate of population variance that occurs in the numerator of the appropriate F ratio? 4  Suppose you have a 2-way factorial design with a = 4, b = 6, and n = 10 and you want to test the simple effect of treatment B at level 1 of treatment A. How many different cell means are involved in constructing the estimate of population variance that occurs in the numerator of the appropriate F ratio? 6  In a 2-way factorial design with a = 4, b = 6, and n = 5, how many variances need to be pooled together to produce the estimate of population variance that appears in the bottom of the F ratio? 24  In a 2-way design, which treatment effect is tested using the variance of the marginal means for Treatment B? Main Effect of treatment B.  In a 2-way ANOVA with a = 2 and b = 4, if the means in cells 12 and 22 are the same, this would indicate that there is no simple effect of B on the dependent variable at level 2 of A. False  If the lines in an interaction plot are NOT parallel then there is a significant interaction between the independent variables. False  In the interaction plot for a 2-way design, if there is an apparent interaction then at least one apparent simple effect must be present. True  In a 2-way design, if there appear to be a main effects of both factors then an interaction should also be visible. False  In the interaction plot for a 2-way design, if there is an apparent interaction then there must be at least one main effect present. False  In a 2-way design, if the results in an interaction plot appear as 2 distinct horizontal lines, then there are no apparent main effects of the independent variables on the dependent variables. False  How many possible simple effects are possible in a 2x3 design which is meant to test whether psychological interventions or gender affect workplace stress? 5  Suppose that, for a 2x2 design, an interaction plot has 1 horizontal line and 1 diagonal line. Which of the following descriptions would be wrong? The simple effects of treatment A are independent of treatment B.  In a 1-way ANOVA with k = 5 and n = 10, how many distinct error terms, eji, can be calculated for participants at level 2 of the treatment? 10  In a 1-way ANOVA with k = 5 and n = 10, how many distinct error terms, eji, can be calculated for participants at level 5 of the treatment? 10  In a 1-way ANOVA with k = 5 and n = 10, how many distinct treatment terms, tau_j, can be calculated for participants at level 5 of the treatment? 1  In a 1-way ANOVA with k = 5 and n = 10, how many distinct treatment terms, tau_j, can be calculated for participants across the entire design? 5  A measure of ability to cooperate with others was recorded for young children from 1-, 2-, and 3-child families. The mean cooperation level for children in 3-child families was found to be 2 units above the grand mean and one particular child in one of these families was found to score 3 units about the grand mean. What is the error, e_3i, term associated with this child? e_3i = 1  From which part of the structural model is SSbetween derived? The deviation between treatment means and the grand mean  From which part of the structural model is SStreatment derived? The deviation between treatment means and the grand mean.  From which part of the structural model is SSwithin derived? The error associated with measurements.  In a 1-way ANOVA with 8 treatment groups and 10 participants per group, what is the within degrees of freedom? 72  In the structural model for a 1-w
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