To study the performance of three detergents and three different watertemperatures, the following 'Whiteness' readings were obtained with specially designedequipment :Water Temp.Detergent ADetergent BDetergent CCold water575567Warm water495268Hot water544658Perform a two-way analysis of variance, using 5% level of significance. (Given F 5% = 6-94)%3D

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Answered: To study the performance of three…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher obtains t(20) = 2.00 and MD = 9 for a repeated-measures study. If the researcher measures effect size using the percentage of variance accounted for, what value will be obtained for r2?
A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among recent graduates from the nursing, engineering, business, and education disciplines. She has randomly selected four graduates from each of the four areas. If MSE = 4, and SSTO = 120, complete the following ANOVA table. Is there a significant difference in the starting salaries among the four disciplines? (H0: No difference) Source SS DF MS F Treatment Error 4 Total 120
In an experiment to compare the efficiency (in percentage) of different chelating agents (A, B, C, and D) in extracting metallic ions in an aqueous solution, the following results were obtained: Day A B C D 1 84 80 83 79 2 79 77 80 79 3 83 78 80 78 (a) Analyze this experimental block design, including the sources of variance. (b) Conduct an Analysis of Variance (ANOVA). (c) Draw the appropriate conclusions on the effectiveness of these chelating agents.
Denise runs a dependent samples t-test and calculates r2subjects=.46 and r2condition=.23. b) If SStotal= 100, what is the SSerror? c) Which effect size(s) reflects the explained variance due to her experimental manipulation? r2error r2condition both r2subjects and r2condition r2subjects
Another experiment involving processor speed (Sp) and size of random access memory (RAM) for computers produced the following data Sp1 Sp2 RAM 1 48 37 38 35 37 39 RAM 2 30 35 31 22 26 30 Are the factors Sp and RAM or their interaction statistically significant?
The number of calories contained in ½ cup servings of randomly selected flavors of ice cream from two brands are listed in the table below: Brand A 330 310 270 310 300 350 380 300 Brand B 280 300 250 290 310 370 300 310 At the α=0.05 level of significance, is there sufficient evidence to conclude that the variance in the number of calories differ between the two brands of ice cream
The following table shows the results of a two-factor analysis of variance with 2 levels of factor A, 3 levels of factor B, and a separate sample of n = 5 participants in each of the treatment conditions. Note that several values are missing in the table. What is the missing value for the F-ratio for the AxB interaction? Source SS df MS Between 80 xx A 8 xx xx F = xx B xx xx 20 F = xx AxB xx xx xx F = xx Within xx xx xx Total 176 xx Question options: a. 4 b. 2 c. 16 d. 8
A marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organization employs a randomized block design in which three salesman use each sales method. The results obtained are given in the following table, along with the JMP output of a randomized block ANOVA of these data. Salesman, j Sales Method, i A B C 1 32 29 30 2 32 30 28 3 28 25 23 4 25 24 20 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 5 153.08333 30.6167 23.4511 Error 6 7.83333 1.3056 Prob > F C. Total 11 160.91667 31.9223 0.0007* Effect Tests Source Nparm DF Sum of Squares F Ratio Prob > F Method 3 3 124.916670 31.8936 0.0004* Salesman 2 2 28.166670 10.7872 0.0103* Least Squares Means Estimates Method Estimate Salesman Estimate 1 30.333333 A 29.000000 2 30.000000 B 27.000000 3 25.333333 C 25.250000 4 22.666667 Tukey HSD All Pairwise Comparisons Quantile…
On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…
A researcher records the number of words recalled by students presented with a list of words for one minute. In one group, students were presented with the list of words in color and for the other group, the words were presented in black and white. Test to see if there are differences in the number of words recalled, using alpha = .05 and four steps. Also calculate and interpret effect sizeand explained variance if appropriate. Words recalled for B/W condition 4 5 1 3 Word recalled in color condition 7 1 2 8 11
Four experimenters determine the moisture content of samples of a powder, each mantaking a sample of six consignments. Their assessments are: Consignments Observers 1 2 3 4 5 6 1 9 10 9 10 11 11 2 12 11 9 11 10 10 3 11 10 10 12 11 10 4 12 13 11 14 12 10 (a) Perform a two-way analysis of variance on these data and discuss whether there is any significant difference between consignments and between observers.(b) Subtract 10 from each value of the data and then perform a two-way analysis of variance on these data and discuss whether there is any significant difference between consignments and between observers. also discuss the results obtained from part (a) and part (b) what change occurs after subtracting 10 from each value of the data
An analysis of variances produces dftotal = 29 and dfwithin = 27. For this analysis, how many treatment conditions are being compared? a. 1 b. 2 c. 3 d. Cannot be determined without additional information

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