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**Mixed Factorial Design (3 by 2) and Post-Hoc Tests**Showing 1-6 of 6 posts

Feb 10, 2021 02:02 AM | Paul Dhami

Mixed Factorial Design (3 by 2) and Post-Hoc Tests

Greetings Forum Users and Dr. Zalesky,

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

Feb 10, 2021 05:02 AM | Andrew Zalesky

RE: Mixed Factorial Design (3 by 2) and Post-Hoc Tests

Hi Paul,

the design matrix looks ok.

Unless your sample size is large, you may want to simplify the experimental design (e.g. 2 x 2) to ensure adequate power is available to detect any interaction effects.

The choice of post hoc tests depends on your specific hypotheses. For example you could run a separate t-test for each of the interaction effects:

[0 0 0 0 1 0] or [0 0 0 0 -1 0] - this would test for the specific effect of time on group A, relative to group C

and

[0 0 0 0 0 1] or [0 0 0 0 0 -1] - this would test for the specific effect of time on group B, relative to group C

Andrew

the design matrix looks ok.

Unless your sample size is large, you may want to simplify the experimental design (e.g. 2 x 2) to ensure adequate power is available to detect any interaction effects.

The choice of post hoc tests depends on your specific hypotheses. For example you could run a separate t-test for each of the interaction effects:

[0 0 0 0 1 0] or [0 0 0 0 -1 0] - this would test for the specific effect of time on group A, relative to group C

and

[0 0 0 0 0 1] or [0 0 0 0 0 -1] - this would test for the specific effect of time on group B, relative to group C

Andrew

*Originally posted by Paul Dhami:*Greetings Forum Users and Dr. Zalesky,

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

Feb 10, 2021 04:02 PM | Paul Dhami

RE: Mixed Factorial Design (3 by 2) and Post-Hoc Tests

Dear Dr. Zalesky,

Thank you much for your help.

Just a follow up, I conducted my analysis and found no interaction. I now want to assess the main effects of time and group.

What would be the contrasts, given the above design matrix, for assessing the main effects of time and group?

Thank you again,

Paul

Thank you much for your help.

Just a follow up, I conducted my analysis and found no interaction. I now want to assess the main effects of time and group.

What would be the contrasts, given the above design matrix, for assessing the main effects of time and group?

Thank you again,

Paul

Feb 11, 2021 12:02 AM | Andrew Zalesky

RE: Mixed Factorial Design (3 by 2) and Post-Hoc Tests

time: [0 1 0 0 0 0 ] or [0 -1 0 0 0 0] t-test

group [0 0 1 1 0 0] F-test

For group, you could also do a separate (post-hoc) t-test for each of the two groups.

group [0 0 1 1 0 0] F-test

For group, you could also do a separate (post-hoc) t-test for each of the two groups.

*Originally posted by Paul Dhami:*Dear Dr. Zalesky,

Thank you much for your help.

Just a follow up, I conducted my analysis and found no interaction. I now want to assess the main effects of time and group.

What would be the contrasts, given the above design matrix, for assessing the main effects of time and group?

Thank you again,

Paul

Thank you much for your help.

Just a follow up, I conducted my analysis and found no interaction. I now want to assess the main effects of time and group.

What would be the contrasts, given the above design matrix, for assessing the main effects of time and group?

Thank you again,

Paul

Feb 12, 2021 02:02 AM | Paul Dhami

RE: Mixed Factorial Design (3 by 2) and Post-Hoc Tests

Hi Dr. Zalesky,

just a follow up question to the original design matrix I provided in the first comment.

Following some other threads here, because my design is mixed (time x group), I am a bit confused as to whether I also need to include additional columns for subject means?

If I need to, would I just append the subject mean columns to the original design matrix?

Or is the design matrix provided in the original message fine for a mixed (time x group) design?

Thank you again for all your help.

Paul

just a follow up question to the original design matrix I provided in the first comment.

Following some other threads here, because my design is mixed (time x group), I am a bit confused as to whether I also need to include additional columns for subject means?

If I need to, would I just append the subject mean columns to the original design matrix?

Or is the design matrix provided in the original message fine for a mixed (time x group) design?

Thank you again for all your help.

Paul

*Originally posted by Andrew Zalesky:*Hi
Paul,

the design matrix looks ok.

Unless your sample size is large, you may want to simplify the experimental design (e.g. 2 x 2) to ensure adequate power is available to detect any interaction effects.

The choice of post hoc tests depends on your specific hypotheses. For example you could run a separate t-test for each of the interaction effects:

[0 0 0 0 1 0] or [0 0 0 0 -1 0] - this would test for the specific effect of time on group A, relative to group C

and

[0 0 0 0 0 1] or [0 0 0 0 0 -1] - this would test for the specific effect of time on group B, relative to group C

Andrew

the design matrix looks ok.

Unless your sample size is large, you may want to simplify the experimental design (e.g. 2 x 2) to ensure adequate power is available to detect any interaction effects.

The choice of post hoc tests depends on your specific hypotheses. For example you could run a separate t-test for each of the interaction effects:

[0 0 0 0 1 0] or [0 0 0 0 -1 0] - this would test for the specific effect of time on group A, relative to group C

and

[0 0 0 0 0 1] or [0 0 0 0 0 -1] - this would test for the specific effect of time on group B, relative to group C

Andrew

*Originally posted by Paul Dhami:*Greetings Forum Users and Dr. Zalesky,

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

Feb 12, 2021 03:02 AM | Andrew Zalesky

RE: Mixed Factorial Design (3 by 2) and Post-Hoc Tests

yes - in short if repeat measurements
are performed, each subject mean should be modelled with a separate
column and exchange blocks would be helpful.

*Originally posted by Paul Dhami:*Hi
Dr. Zalesky,

just a follow up question to the original design matrix I provided in the first comment.

Following some other threads here, because my design is mixed (time x group), I am a bit confused as to whether I also need to include additional columns for subject means?

If I need to, would I just append the subject mean columns to the original design matrix?

Or is the design matrix provided in the original message fine for a mixed (time x group) design?

Thank you again for all your help.

Paul

just a follow up question to the original design matrix I provided in the first comment.

Following some other threads here, because my design is mixed (time x group), I am a bit confused as to whether I also need to include additional columns for subject means?

If I need to, would I just append the subject mean columns to the original design matrix?

Or is the design matrix provided in the original message fine for a mixed (time x group) design?

Thank you again for all your help.

Paul

*Originally posted by Andrew Zalesky:*Hi
Paul,

the design matrix looks ok.

Unless your sample size is large, you may want to simplify the experimental design (e.g. 2 x 2) to ensure adequate power is available to detect any interaction effects.

The choice of post hoc tests depends on your specific hypotheses. For example you could run a separate t-test for each of the interaction effects:

[0 0 0 0 1 0] or [0 0 0 0 -1 0] - this would test for the specific effect of time on group A, relative to group C

and

[0 0 0 0 0 1] or [0 0 0 0 0 -1] - this would test for the specific effect of time on group B, relative to group C

Andrew

Greetings Forum Users and Dr. Zalesky,

I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul

the design matrix looks ok.

Unless your sample size is large, you may want to simplify the experimental design (e.g. 2 x 2) to ensure adequate power is available to detect any interaction effects.

The choice of post hoc tests depends on your specific hypotheses. For example you could run a separate t-test for each of the interaction effects:

[0 0 0 0 1 0] or [0 0 0 0 -1 0] - this would test for the specific effect of time on group A, relative to group C

and

[0 0 0 0 0 1] or [0 0 0 0 0 -1] - this would test for the specific effect of time on group B, relative to group C

Andrew

*Originally posted by Paul Dhami:*I was hoping for someone to please verify 1) if my design matrix is correct for testing a 3 (three separate groups) by 2 (two time points) interaction effect, and 2) what would be the appropriate post hoc tests.

With regards to the 3 x 2 interaction effect, following previous examples on this forum, i came up with this example posted else where:

1 1 1 0 1 0 (time 1, group A)

1 1 1 0 1 0 (time 1 ,group A)

1 1 0 1 0 1 (time 1, group B)

1 1 0 1 0 1 (time 1, group B)

1 1 0 0 0 0 (time 1, group C)

1 1 0 0 0 0 (time 1, group C)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 1 0 -1 0 (time 2, group A)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 1 0 -1 (time 2, group B)

1 -1 0 0 0 0 (time 2, group C)

1 -1 0 0 0 0 time 2, group C)

With the interaction contrast being [0 0 0 0 1 1]. Are these correct?

I have yet to run my analysis, but in the case that I do come across an 3 by 2 interaction, what post-hoc tests would I then run? I understand if there is no significant interaction, I would test for the main effects of group and time. However, I do not know what post-hoc tests I would run for this interaction. Any advice would be greatly appreciated.

Best,

Paul