How many separate groups of participants would be needed for a two-factor ANOVA with 3 levels of factor A and 3 levels of factor B?
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How many separate groups of participants would be needed for a two-factor ANOVA with 3 levels of factor A and 3 levels of factor B?
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- A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If the Gender by Minority Classification interaction is significant, describe the interaction. Include individual means and their corresponding standard deviations in your description.A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…
- The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error…In a randomized block experiment with treatment Factor T , what is the purpose of doing a multiple comparison if the treatment factor effect is significant?Explain what happens during each of the two stages of the two-factor ANOVA.
- And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If the main effect of Minority Classification is significant, describe the main effect of Minority Classification. Include the overall means and corresponding standard deviations in your description. Example = If there is a main effect of maternal diet, is the main effect of maternal diet significant? Why? Provide F-statistic, df of numerator, df of denominator, and p- value? Yes, the main effect of maternal diet is significant because p is less than alpha, F(1,16) = 40.67, p = .0001If no main effects emerge in a two-factor ANOVA, there must also be no significant interaction between the two factors. Group of answer choices True Falsefor a two way factor anova comparing the possible interaction between religion and anxiety, what is the alternative
- If the results of a two-factor ANOVA show no main effect for factor A but show a significant interaction, then the results indicate that factor A has no effect on the subjects' scores. True or FalseAn article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes. Туре of Box Compression Strength (Ib) Sample Mean Sample SD 1 655.5 788.3 734.3 721.4 679.1 699.4 713.00 46.55 2 789.2 772.5 786.9 686.1 732.1 774.8 756.93 40.34 3 737.1 639.0 696.3 671.7 717.2 727.1 698.07 37.20 535.1 628.7 542.4 559.0 586.9 520.0 562.02 39.87 Suppose that the compression strength observations on the fourth type of box had been 657.1, 750.7, 664.4, 681.0, 708.9, and 642.0 (obtained by adding 122 to each previous x). Assuming no change in the remaining observations, carry out an F test with a = 0.0 State the appropriate hypotheses. O Ho: H1 * M2 # Hz# H4 H: at least two u's are equal Ho: Hq = Hz = Mz =H4 H: at least two µ's are unequal O Ho: H1 = H2 = !3= H4 H: all four u,'s are unequal O Ho: H1 # 42 # Hz# H4 H: all four u's are equal Calculate…Which of the following is a component of a 2 x 3 Factorial ANOVA? Factor A main effect Factor B main effect Interaction effect All of the above