Analysis of variance compares the means of a response variable for several groups. ANOVA compares the variation within each group to the variation of the mean of each group. The ratio of these two is the F statistic from an F distribution with (number of groups - 1) as the numerator degrees of freedom and (number of observations - number of groups) as the denominator degrees of freedom. You intend to conduct an ANOVA with 3 groups in which each group will have the same number of subjects: n=23n=23. (This is referred to as a "balanced" single-factor ANOVA.) What are the degrees of freedom for the numerator? d.f.(treatment) =  What are the degrees of freedom for the denominator? d.f.(error) =

You are a member of your local apartment association.  Recently, this association has received complaints from renters in a particular area of the city who feel their rent is much higher than other areas.  You investigate the complaint by collecting data from 4 different areas of the city (see table below). (a) Area A is the area that filed the complaint. Calculate the mean and the median of each area. (b) Do you feel Area A’s complaint is justified- why or why not? (c) Which do you think is a better measure to use in this situation - the mean or the median? Explain your reasoning.   Area A Area B Area C Area D 1275 1124 1085 928 1110 954 827 1096 975 815 793 862 862 1078 1170 735 1040 843 919 798 997 745 943 812 1119 796 756 1232 908 816 765 1036 890 938 809 998 1055 1082 1020 914 860 750 710 1005 975 703 775 930

Sharon wants to measure the effect of training and high/low protein diet on muscle recovery after exercise. There are 4 groups of participants: trained high protein diet, untrained low protein diet, trained low protein diet, untrained high protein diet. What statistical test should be used to determine the mean differences between groups in muscle recovery?     2-way/factorial ANOVA     1-way ANOVA     Repeated Measures ANOVA     Chi-square Test

A cardiologist is interested in the mean recovery time of her patients who have had heart attacks. Suppose the cardiologist has a total of 52 patients and among those, 30 patients have had heart attacks. The study records 10 patients' recovery times, what is the sample size? 10 None of the above 52 3

Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week.   Participant Stress 1 Stress 2 Difference Score (Di) (Di - Mdiff)2 1 22 22 0   2 32 34 -2   3 24 25 -1   4 28 30 -2   5 26 29 -3   What is the SS of the mean differences (i.e., Σ(Di - Mdiff)2)? Round to 2 decimal places.

This research was conducted with Korean adolescents in the Los Angeles area. Would you be willing to generalize the results of this study to Korean adolescents who live in other regions of the country? Why or why not.

What is the effect of an increase in variance of the different scores in repeated measure design

Describe a scenario where a researcher could use an F-test for the equality of two variances to answer a research question.

A social psychologist is interested in knowing whether people are more aggressive if they are in the presence of a weapon, such as a gun Treatment Condition- T1, as compared to when they are in a room with an innocuous item such as a tennis racket Control Condition-T2. The study used one sample of 17 college students and had all of the students in the sample participate in both treatment conditions. The mean of the difference scores was 18.0 and the variance (s2) was 612. An alpha level of .01 was set. Calculate the t. A  3.000 B  2.780 C  2.152 D  1.765

9. How do you calculate the variance of a dataset?