14)here due to equal size :
MS(error )=(s12+s22+s32)/3 =(25+37+28)/3 =30
MS(treatment)=n*Sx2 =15*14
therefore F =15*14/30 =7
15)
since interval for A and B as well A and C ; does not contain 0;
QUESTION 14 In an analysis of Variance (ANOVA), we have the following summary information. Calculate the...
QUESTION 2 An ANOVA is to be performed comparing 4 means. Using the information provided, calculates *1 = 12, X2 = 13, X3 = 16,4 = 15. Note: The overall mean is 7 = 14. Round your answer to two decimal places. QUESTION 3 A comparison of 4 means is to be performed using ANOVA. Given the following information, calculate the value of the F-Test statistic. Round your answer to two decimal places. sî - 3,53 - 11,5 - 14,54...
In an analysis of variance ANOVA, a post-hoc HSD test is Select one: a. done when the null hypothesis is rejected. b. done before the computed F is compared to the critical value of F. c. not done if all the means are similar except one. d. always done when there are four or more groups.
Question Completion Status QUESTION 4 Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 4 108 27 32.66666667 B 4 96 24 13.33333333 4 120 30 56 ANOVA Source of Variation SS df F crit MS P-value F Treatments 72 36 1.058823529 0.386396621 4.256494729 Error 306 9 34 Total 378 11 Based on the Results above of Single Factor ANOVA: the MSTR O 36 O 378 O 72 O 34 Click Save and Submit to save and submit. Chick...
Anova: Single Factor SUMMARY Count Av Variance Sum 165.000000000 27.500000000 8.300000000 174.000000000 29.000000000 2.000000000 155.000000000 25.833333333 1.366666667 188.000000000 31.333333333 0.666666667 ANOVA P.value Fcrit Between Groups 98.166666667 3 Within Groups 61.666666667 20 MS 32.722222222 10.612612613 0.000217836 3.098391196 3.083333333 Total 159.833333333 23 TUKEY MULTIPLE COMPARISON TEST Distance 2.838767338 3.96 0.05 Means joined by a double line are not significantly different. 25.833333969 27.500000000 29.000000000 31.333333969 19. Is there a statistically significant difference in the average processing time between the four products? A. Yes,...
Consider the following output from an ANOVA problem. The test is to be performed at the 5% level of significance. Source DF SS MS F P Between 292.1 146.1 1.016 Within 11 23.5 Total 550.9 1. The number of groups being compared is: (a) 2 (b) 3 (c) 14 (d) Cannot be determined from the information given 2. The total number of observations is: (a) 3 (b) 12 (c) 14 (d) Cannot be determined from the information given 3. At...
Below is an ANOVA table. Use it to answer the following 5 questions. Analysis of Variance Source df Sum of Squares Mean Square FOBT Between 2 Within 468 Total 29 818 818 Question 13 1 pts What is dfwithin? Question 14 1 pts What is SSbetween? Question 15 1 pts What is MS between? Question 16 1 pts What is MS within? Question 17 1 pts What is Fobt?
A one-way analysis of varlance experlment produced the following ANOVA table. (You may find it useful to reference the g table). SUMMARY Count Groups Column 1 Column 2 olumn 3 Source of Variation Between Groups Within Groups Total Average 8.89 1.31 2.35 SS 8.65 df 15 17 MS 4.33 0.26 16.65 8.6882 12.48 a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ. o Reject Ho, we can conclude that some population means...
The following output summarizes the results for a one-way
analysis of variance experiment in which the treatments were three
different hybrid cars and the variable measured was the miles per
gallon (mpg) obtained while driving the same route. (You
may find it useful to reference the q
table.)
Hybrid 1: x¯1x¯1 = 25, n1 = 20
Hybrid 2: x¯2x¯2 = 35, n2 = 15
Hybrid 3: x¯3x¯3 = 21, n3 = 18
The following output summarizes the results for a...
Please help with the following multiple choice 1. In the one-way ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to, respectively: a. n and k. b. k and n. c. n − k and k − 1. d. k − 1 and n − k. 2. In ANOVA, the F-test is the ratio of two sample variances. In the one-way ANOVA (completely randomized design), the variance used as a numerator...
Assignment #5: Analysis of Variance and Post Hoc Tests Directions: Using the information from the following scenario, conduct a one-way ANOVA and specify the LSD post hoc test. The superintendent is continuing to examine the data that has been reported for the district. Another question concerned the differences in performance on high stakes tests. To examine this issue, the superintendent obtained the average scale scores for schools that participated in the high stakes testing for the district and two comparison...