Factor A A₁ A₂ B₁ T = 25 M = 5 SS=30 T = 15 M = 3 SS = 22 Factor B B₂ T = 40 M = 8 SS = 38 T = 20 M = 4 SS = 26 N = 30 G = 210 B₂ 3 T = 70 M = 14 SS = 46 T = 40 M = 8 SS = 30 SStotal 592

The following data summarize the results from an independent-measures study comparing three treatment conditions.                                                                              Treatment                                                                     I               II            III                   N = 12                                                                     3              5            6                    G = 60                                                                     5              5           10                 ∑X2 = 392                                                                     3              1           10                                                                     1              5            6                                                                  x̅1 = 3        x̅2 = 4      x̅3 = 8                                                                 T1 = 12      T2 = 16    T3 =32…

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

A researcher wanted to examine whether type of dog food (freeze dried meat vs generic brand kibble) would affect dogs’ attention span. The researcher hypothesized that dogs who ate freeze dried meat would have longer attention spans than those who ate generic brand kibble. The researcher used a single sample of 13 subjects, that took part in both treatment conditions. The researcher set the alpha level at .01.  The mean of the difference scores (MD)was 7.0 and the SSD for the difference in attention spans was 144. What is the calculated test statistic to the nearest thousandth? Be sure to put the positive or negative sign in front of it.  Note: SHOW ALL WORK!!! Based on your work above, do you reject or retain the null?     reject     retain Based on your conclusion regarding the null, was there a treatment effect?     Yes     No

In a certain study, the effect on oat yield was compared for the Pallinup, Overberg and Magnifico varieties of oats and four different concentrations of manure (0, 0.2, 0.4 and 0.6 tonnes per acre). Identify the experimental units, response variable, factor(s), levels of each factor and treatments.

State the hypotheses for each of the three separate tests included in the two-factor ANOVA.

Identify the TEST for the below scenario and explain why you will choose the test for the analysis: In a hospital for one year the comorbidities of alcoholic and non-alcoholic patients were studied. Which test will be used to understand that alcoholic patients are more susceptible to comorbidities?

Find the value of the test statistic and find the 5% critical value

For a randomized block ANOVA, suppose that the treatment Factor T has four levels and the blocking Factor B has eight levels. Given that SSTR = 900, SSBL = 700, and SSE = 210, construct the randomized block ANOVA table for the data.