The following two-way table gives data for a 2 × 2 factorial experiment with two observations per factor-level combination: The data are saved in the LM.TXT file.
Factor B Level 1 2 Factor A 1 29.6, 35.2 47.3, 42.1 2 12.9, 17.6 28.4, 22.7
a. Identify the treatments for this experiment. Calculate and plot the treatment means, using the response variable as y-axis and the levels of factor B as the x-axis. Use the levels of factor A as plotting symbols. Do the treatment means appear to differ? Do the factors appear to interact? (3)
b. Construct an ANOVA table for this experiment. (3)
c. Test to determine whether the treatment means differ at the α=0.05 level of significant. Does the test support your visual interpretation from part a? (3)
d. Does the result of the test in part c warrant a test for interaction between the two factors? If so, perform it, using α=0.05. (3)
e. Do the results of previous tests warrant tests of the two factor mean effects? If so, perform them, using α=0.05.
LM.TXT FILE:
> I am struggling with question a the most so if someone could please help me that would be amazing.
[email protected] Mon, May 31, 2021 9:51 PM
The following two-way table gives data for a 2 × 2 factorial experiment with two observations per factor-level combination:
3. (20 points) A partially completed ANOVA table for a two-factor factorial experiment is shown here: Source df SS 3 1 0.95 MS F 0.75 0.30 AB Error Total 23 6.5 a Give the number of levels for each factor. b How many observations were collected for each factor-level combination? c Complete the ANOVA table above. d Test to determine whether the treatment means differ using a = 0.10?
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Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance eve o o.05 Choose the correct hypotheses below. HA: At least two levels of factor A...
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A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 125 100 65 Level 1 155 76 103 Factor A 105 147 140 Level 2 95 125 156 Test for any significant main effects and any interaction. Use . Round Sum of Squares, value, Mean Square to two decimals, if necessary and -value to four decimals. Source of Variation Sum of Squares Degrees...
solve number 3 only 3. The following sample data stem from two-factor factorial study. a) b) c) Give the ANOVA model for the study. Prepare an estimated treatment means plot. Does it appear that the factors interact? Set up the ANOVA table, and carry out all appropriate tests for factor effects. In each case state the null and alternative hypotheses, the decision rule and the conclusion. Use a=.01. Factor B 1 Factor A 1 2 ,6,5 10.12.11 12,13,117.7.8 4 EEEY...
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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...
Please round to 3 decimal places Consider the accompanying data collected for a two-way ANOVA Click the icon to view the data table a) Using a b) Using c) Using a 0.025, are the Factor B means different? = 0.025, is there significant interaction between Factors A and B? a = 0.025, are the Factor A means different? a) Using a 0.025, is there significant interaction between Factors A and B? Identify the hypotheses for the interaction between Factors A...
> I need help on this too. How do I even start solving this?
[email protected] Mon, May 31, 2021 7:49 PM