In a repeated measures ANOVA, the total sum of squares can be partitioned into three sources of variation. What are those three sources of variation? For each source of variation, describe whether that source represents a type of between-groups variation or within-groups variation.,
(a)
The 3 sources of variation are:
(i) SSconditions = Conditions Variability
(ii) SSsubjects = Subject Variability
(iii) SSerror = Error Variability
(b)
SSconditions = Conditions Variability represents a type of between-groups variation
SSsubjects = Subject Variability and SSerror = Error Variability represent a type of within-groups variation
In a repeated measures ANOVA, the total sum of squares can be partitioned into three sources...
In the FIRST step of a repeated-measures ANOVA, total degrees of freedom is broken down into: a. within treatments df and between subjects df b. error df and between subjects df c. between groups df and between subjects df d. between groups df and within groups df
For either independent-measures or repeated-measures designs comparing two treatments, the mean difference can be evaluated with either at test or an ANOVA. The two tests are related by the equation F=12. The following data are from a repeated-measures study: Person Difference Scores 3 I 4 2 3 7 M = 4.00 T = 16 SS = 14 Treatment II 7 11 6 10 M 8.50 T-34 SS = 17 3 3 Mo 4.50 SS = 27.00 Use a repeated-measures t...
Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 64 8 Within Treatments (Error) 2 Total 100 The number of degrees of freedom corresponding to between-treatments is a. 3. b. 4. c. 2. d. 18.
Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 180 3 Within Treatments (Error) TOTAL 480 18 The mean square due to error (MSE) is a. 60. b. 15. c. 20. d. 18.
For a repeated-measures ANOVA, which of the following is computed differently, compared to an independent-measures ANOVA? a. total SS b. between treatment SS c. within treatment SS d. the denominator of the F ratio
use the following ANOVA table for a repeated-measures design (Time is the repeated measure). Source SS Df MS F Fcrit Between 28.8 4 7.2 Within Time 1.882 Error 27.3 8 3.4 Total 68.8 The mean square value for Time is: A: 6.4 B: 3.8 C: 12.8 D: 14.0
Exhibit 13-5 Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom F Mean Square 180 3 Between treatments Within treatments (Error) Total 480 18 Refer to Exhibit 13-5. The mean square between treatments (MSTR) is a. 300 b. 60 O c. 15 O d. 20
The sum of squares within (SSW) measures the variation between each sample mean and the grand mean of the data. True or false
Question 8 ANOVA Score Sum of Squares df Mean Square F Sig. Between Groups 1746.100 3 582.033 47.686 .000 Within Groups 439.400 36 12.206 Total 2185.500 39 Which value below represents the effect size (eta squared) for this analysis? η2 =.83 η2 =.79 η2 =.59 η2 =.69
e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal places. Round F to two decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments Error Total f. At the α-.05 level of significance, test whether the means for the three treatments are equal The p-value is less than.01 What is your conclusion? Select The following data are from a...