Consider an ANOVA situation with
Consider the following ANOVA summary table: ANOVA Summary Table SS df MS Source F 9 7.3 Group (Between) Error (Within) Total 2400 30 The researcher was comparing 9 groups and found there were no significant differences between the groups. o The researcher was comparing 8 groups and found there were significant differences between the groups. O None of the choices give a correct description of study design and results. o The researcher was comparing 9 groups and found there were...
21) Consider the partially completed one-way ANOVA summary table. Degrees of Mean Sum Freedom of Squares Sum of Source Squares Between 330 Within Total 1810 1 16 9 The F-test statistic for this ANOVA procedure is A) 2.33 B) 7.33 C) 5.67 D) 3.67
3. Consider the partially completed two-way ANOVA summary table. Source Sum of Squares Degrees of Freedom Mean Sum of Squares Factor B Factor A 600 200 Interaction 144 Error 384 Total 1,288 23 The number of Factor A populations being compared for this ANOVA procedure is _ A) 5 B) 7 C) 4 D) 6
Consider the following set of ordered pairs. i Partial ANOVA ANOVA Calculate the coefficient of determination and test its significance using a = 0.05. Click the icon to view a partial ANOVA table. SS MS d.f. 1 Regression Error Total 24.457 1.543 26.0 Click the icon to view a partial table of critical F-scores with 0.05 in the right tail of the distribution. 4 Calculate the coefficient of determination. AREA IN THE RIGHT TAIL OF DISTRIBUTION = 0.05 D R=...
Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 5 3,931.60 786.32 14.34 Residual Error 50 2,742.06 54.84 Total 55 6,673.66
Consider a one-way ANOVA setup with three levels of an experimental factor, and with sample size n 15. Use R to obtain a randomization of treatments to experimental units, in such a way that someone else could duplicate your particular random assignment. Include your R code and output in your answer
4. Consider the balanced one-way ANOVA model with I treatment groups, and J observations for each group iid where the idiosyncratic errors are ε ~N(0,02). (a) Show that SSW/o xi- (b) Show that SSB/o2 -1. (c) Show that SSW and SSB are independent. (d) What is the null distribution of SSW (11-1
4. Consider the balanced one-way ANOVA model with I treatment groups, and J observations for each group iid where the idiosyncratic errors are ε ~N(0,02). (a) Show that...
Consider a business of any type. What is a situation where a hypothesis test might help make a decision? Describe the situation. Then you or someone in a reply can make up numbers for that situation and someone else can solve it.
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the Ftable.) a. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) ANOVA SS df MS F Source Factor A 70 3 1.40 Factor B 50 11 23.33 50.00 70.00 3.00 Interaction 210 3 4.20 Error 24 16.67...
Consider the data that is summarized in the ANOVA table below. Source d.f. Sum of Squares Mean Square F Treatment 1150 Error 475 25 Total 23 Test the hypothesis H0 : μ1 = μ1 = … = μk vs H1 : μi ≠ μj for at least one pair (i, j) (a) [2 marks] What is the value of the test statistic? (b) [1 mark] What is the 5% critical value?