36 trainees in a technical program were selected according to level of study (I,II,III,IV) and each of the 9 trainees pe
Posted: Wed May 11, 2022 6:24 am
36 trainees in a technical program were selected according to level of study (I,II,III,IV) and each of the 9 trainees per level randomly assigned to three different types of instructional approaches, all of which are concerned with developing a specified level of skill in computer-assisted design. The trainees were then given a test to assess if the level of study and method of instruction had any impact on their performance. A two-way ANOVA model was used to carry out the assessment and part of the results obtained were as follows:
Source of variationlevel of studymethod of instructioninteraction termerrorSum of squares330.9750.083.9435.3Mean Sumof squaresABCDSource of Sum of Mean Sumvariationsquaresof squareslevel of study330.9Amethod of instruction750.0Binteraction term83.9Cerror435.3D
(a) Complete the ANOVA table
AAnswer
BAnswer
C (round off answer to two decimal points)Answer
D (round off answer to two decimal points)Answer
(b)What conclusion can be drawn about the interaction effect?(use critical value= 2.508)
AnswerThe interaction effect is not significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor.The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.The interaction effect is significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor.The interaction effect is significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.
(c)
(i)Compute the F-statistic for determining if level of study has an effect on average performance (round off answer to two decimal points)Answer
(ii)Interpretation of result in part (i) above(use critical value= 2.922) Answersince the result is significant, the level of study has an effect on average performancesince the result is significant, the level of study does not have an effect on average performancesince the result is not significant, the level of study has an effect on average performancesince the result is not significant, the level of study does not have an effect on average performance
(d)
(i)Compute the F-statistic for determining if method of instruction has an effect on average performance (round off answer to two decimal points)Answer
(ii)Interpretation of result in part (i) above(use critical value= 3.316)
Source of variationlevel of studymethod of instructioninteraction termerrorSum of squares330.9750.083.9435.3Mean Sumof squaresABCDSource of Sum of Mean Sumvariationsquaresof squareslevel of study330.9Amethod of instruction750.0Binteraction term83.9Cerror435.3D
(a) Complete the ANOVA table
AAnswer
BAnswer
C (round off answer to two decimal points)Answer
D (round off answer to two decimal points)Answer
(b)What conclusion can be drawn about the interaction effect?(use critical value= 2.508)
AnswerThe interaction effect is not significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor.The interaction effect is not significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.The interaction effect is significant, hence the effect of the effect of one factor on the mean response is independent of the the other factor.The interaction effect is significant, hence the effect of the effect of one factor on the mean response is dependent of the the other factor.
(c)
(i)Compute the F-statistic for determining if level of study has an effect on average performance (round off answer to two decimal points)Answer
(ii)Interpretation of result in part (i) above(use critical value= 2.922) Answersince the result is significant, the level of study has an effect on average performancesince the result is significant, the level of study does not have an effect on average performancesince the result is not significant, the level of study has an effect on average performancesince the result is not significant, the level of study does not have an effect on average performance
(d)
(i)Compute the F-statistic for determining if method of instruction has an effect on average performance (round off answer to two decimal points)Answer
(ii)Interpretation of result in part (i) above(use critical value= 3.316)