Confusion In which ANOVA to use?

This design would allow for a comparison between the two blocks to see if there is any change in performance. In summary, based on the information provided, the design mentioned in the conversation would be a 2-way repeated measures design with the independent variables being tapes and tools, and the dependent variable being the measure recorded by the participant.
  • #1
abhipatel
30
0
Just getting confused but here is my work : I think since there are 2 independant measures(not shown here) and there are different participants used for each tool (with same tape)...therefore it should be independant!

But then I thought : 2 Independent variables: Tapes and Tools – not all using different participants…some using same and some different – therefore Mixed…?

Is this mixed , 2-way independant or what other one?

Participant tool 1 tool 2 tool 3 tool 4

1 1 7 3 5 12 11 10 8 6 9 4 2
2 9 12 1 11 5 7 8 6 2 3 10 4
3 12 8 6 1 7 2 3 10 4 11 5 9
4 2 9 12 7 8 10 4 3 5 6 1 11
5 7 1 2 3 9 8 6 5 11 4 12 10
6 6 5 9 8 11 4 1 7 12 10 2 3
7 5 2 11 10 1 3 9 4 7 12 6 8
8 8 3 7 12 4 9 5 1 10 2 11 6
9 10 4 8 2 1 6 11 9 3 5 7 12
10 3 11 4 6 10 1 12 2 8 7 9 5
11 11 6 10 4 2 5 7 12 9 8 3 1
12 4 10 5 9 3 12 2 11 1 6 8 7

• each tape shown exactly once, and almost once per position

Have 2 Independant Measures recorded by participant based on this!

What if there is a replication of another block with exactly the same design?
 
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  • #2
In this case, it would be a 2-way repeated measures design. The independent variables would be tapes and tools, and the dependent variable would be the measure recorded by the participant. There would be two replications of the same block and each participant would complete both blocks, measuring their performance on the same tapes using the same tools.
 

What is ANOVA and why is it used?

ANOVA stands for Analysis of Variance and is a statistical method used to compare the means of three or more groups. It is used to determine if there is a significant difference between the means of the groups and helps to identify which group(s) may be contributing to this difference.

What are the different types of ANOVA?

There are three main types of ANOVA: One-Way ANOVA, Two-Way ANOVA, and N-Way ANOVA. One-Way ANOVA is used when there is only one independent variable and two or more groups. Two-Way ANOVA is used when there are two independent variables and one dependent variable. N-Way ANOVA is used when there are multiple independent variables and one dependent variable.

How do I know which ANOVA to use for my data?

The type of ANOVA to use depends on the number of independent variables and the number of groups being compared. If there is only one independent variable and two or more groups, use One-Way ANOVA. If there are two independent variables and one dependent variable, use Two-Way ANOVA. If there are multiple independent variables and one dependent variable, use N-Way ANOVA.

What is the difference between ANOVA and t-test?

ANOVA and t-test are both used to compare means of groups, but they have different applications. ANOVA is used when there are three or more groups being compared, while t-test is used when there are only two groups. ANOVA also takes into account the variation within each group, while t-test only looks at the means of the two groups.

What are the assumptions for using ANOVA?

The main assumptions for using ANOVA are that the data is normally distributed, the groups have equal variances, and the observations are independent. Additionally, the groups should be randomly selected and the sample sizes should be equal.

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