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If you require statistics homework solution of any given statistics problems then please feel free to contact us at [email protected]
(In email please remember to mention the statistics problem code for which you want the statistics homework solution eg. SHP-01, SHP-02 and so on.)
Describe two similarities and one difference between an F ratio and a t-statistic?
Briefly explain why you should use an ANOVA instead of several t-tests to evaluate mean differences when you have three or more groups?
What is the symbolic null hypothesis for a oneway ANOVA with three groups?
a) How many pairwise comparisons would one be making for a research design involving 6 levels of the independent variable?
b) Using Table-1 (Experimentwise alpha level from repeated comparisons) from the Week 10a lecture, determine the probability of making at least one Type I error if one was to do all of the comparisons each at an alpha level of .05:
c) Using the formula provided in this lecture, confirm this probability by calculating the experimentwise (familywise) error rate provided for multiple comparisons: Alphaew =
With 6 df in the numerator and 18 in the denominator, i.e., F(6,18):
a) What is the critical value of F at a = .05?
b) What is the critical value of F at a = .01?
c) How many groups are in the study?
d) How many participants in the total sample?
The following summary table presents the results from an ANOVA comparing three treatment conditions with n = 10 participants in each treatment.
a) Complete all the missing values (Hint: start with the df column)?
b) What is the critical value of F at a = .05?
c) Is this F ratio significant at a = .05?
A clinical psychologist has noted that autistic children seem to respond to treatment better if they are in a familiar environment. To evaluate the influence of environment, the psychologist selects a group of 12 autistic children who are currently in treatment and randomly divides them into three groups. One group continues to receive treatment in the clinic as usual, another group receives treatment sessions at home, and a third group receives half the treatment in the clinic and half at home. At six weeks the psychologist evaluates the progress for each child.
a) What is the factor and what are the levels of the factor in this experiment?
b) What are the null and alternative hypotheses, symbolically?
c) What are the within-groups sum of squares, degrees of freedom, and mean square?
d) What are the between-groups sum of squares, degrees of freedom, and mean square?
e) What are the F statistic and df?
f) What is the critical F value at an alpha level of .05? Is the obtained F statistic significant at a = .05?
Suppose a professor wanted to see if students’ comprehension of a stats lecture differed depending on whether they had read the text chapter prior to class. The prof asked his class of 75 students how many had skimmed the chapter, how many had read the chapter, and how many had not read the chapter before the lecture. As luck would have it, exactly 25 had skimmed, 25 had read, and 25 hadn’t read the chapter. The prof asked each student how well they think they understood the lecture on a scale of 0 (not at all) to 5 (completely). The data obtained can be found in the following table. [Being a stats prof, he provided more information than was necessary. You’ll have to figure out which value represents the grand mean.]
Complete the following ANOVA summary table by calculating the SS, df, and MS values, as well as the F value. No need to show your work. Provide your answers to 2 decimal places.
a) What is the critical F value at an alpha level of .05?
b) Is the obtained F statistic significant at a = .05?
c) What is the critical F value at an alpha level of .01?
d) Is the obtained F statistic significant at a = .01?