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| = Two Groups (One Factor/Two Levels), One Covariates = | |
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| This models the input as two lines. If DODS, then each line has its own intercept and slope. If DOSS, then each line has its own intercept but they share a slope. |
[[FsgdExamples|Back to FSGD Examples]] |
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| === FSGD File === | ~+'''Two Groups (One Factor/Two Levels), One Covariate'''+~ This models the input as a single line (ie, an intercept and a slope). factor (eg, Age). <<TableOfContents>> = FSGD File (g1v1.fsgd) = |
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| Class Group1 Class Group2 |
Class Main |
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| Input subject1 Group1 30 Input subject2 Group2 40 |
Input subject1 Main 30 Input subject2 Main 40 |
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| Nclasses = 2 <<BR>> | Nclasses = 1 <<BR>> |
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| === Regressors === | = Regressors = |
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| Nregressors = Nclasses*(Nvariables+1) = 2*(1+1) = 4 <<BR>> Regressor1: ones for subjects in Group 1, 0 otherwise. Codes intercept/mean for Group 1 <<BR>> Regressor2: ones for subjects in Group 2, 0 otherwise. Codes intercept/mean for Group 2 <<BR>> Regressor3: age for subjects in Group 1, 0 otherwise. Codes age slope for Group 1 <<BR>> Regressor4: age for subjects in Group 2, 0 otherwise. Codes age slope for Group 2 <<BR>> |
Nregressors = Nclasses*(Nvariables+1) = 1*(1+1) = 2 <<BR>> Regressor1: All ones. Codes intercept/mean for Main <<BR>> Regressor2: age for each subject. Codes age slope for Group 1 <<BR>> |
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| === Contrasts === | = Contrasts = |
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| ===== Contrast1 ===== Null Hypothesis: is there a difference between the group intercepts? |
The number of columns in each contrast matrix must be the same as the number of regressors (Nregressors). If there is only one row in the contrast matrix, then the result will be a t-test and will have a sign. Reversing the signs in the contrast matrix will only change the sign of the output, not its magnitude. If there is more than one row, the result will be an F-test and will be unsigned. |
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| Contrast File: g1-g2.intercept.mtx | == Contrast 1 (intercept.mtx) == Null Hypothesis: is the intercept equal to 0? |
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| 1 -1 0 0 | 1 0 |
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| Since this is a t-test, the output will be signed, with Group1>Group2 being positive (red/yellow). Reversing the sign will only change the sign of the output, not its magnitude. |
This is a t-test with the intercept>0 being positive (red/yellow). |
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| ===== Contrast2: ===== | == Contrast 2 (slope.mtx) == |
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| Null Hypothesis: is there a difference between the group slopes? Note: this is an interaction between group and age. Note: not possible to test with DOSS |
Null Hypothesis: is the slope equal to 0? |
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| Contrast File: g1-g2.slope.mtx | |
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| 0 0 1 -1 | 0 1 |
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| Since this is a t-test, the output will be signed, with Group1>Group2 being positive (red/yellow). Reversing the sign will only change the sign of the output, not its magnitude. |
This is a t-test with the slope>0 being positive (red/yellow). |
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| ===== Contrast3: ===== Null Hypothesis: does Group1 differ from Group2 in intercept or slope? |
= mri_glmfit command = |
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| Contrast File: g1-vs-g2.mtx | This is an example invocation of mri_glmfit. Depending upon your application, you may have other options as well. |
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mri_glmfit \ --glmdir g1v1 \ --y y.mgh \ --fsgd g1v1.fsgd \ --C intercept.mtx \ --C slope.mtx |
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| Note: this is an F-test (and hence unsigned). ===== Contrast4 ===== Null Hypothesis: does mean of group intercepts differ from 0? Contrast File: g1g2.intercept.mtx {{{ 0.5 0.5 0 0 }}} ===== Contrast5 ===== Null Hypothesis: does mean of group slopes differ from 0? Contrast File: g1g2.intercept.mtx {{{ 0 0 0.5 0.5 }}} |
Two Groups (One Factor/Two Levels), One Covariate
This models the input as a single line (ie, an intercept and a slope). factor (eg, Age).
Contents
FSGD File (g1v1.fsgd)
GroupDescriptorFile 1 Title OSGM Class Main Variable Age Input subject1 Main 30 Input subject2 Main 40
Nclasses = 1
Nvariables = 1
Regressors
Nregressors = Nclasses*(Nvariables+1) = 1*(1+1) = 2
Regressor1: All ones. Codes intercept/mean for Main
Regressor2: age for each subject. Codes age slope for Group 1
Contrasts
The number of columns in each contrast matrix must be the same as the number of regressors (Nregressors). If there is only one row in the contrast matrix, then the result will be a t-test and will have a sign. Reversing the signs in the contrast matrix will only change the sign of the output, not its magnitude. If there is more than one row, the result will be an F-test and will be unsigned.
Contrast 1 (intercept.mtx)
Null Hypothesis: is the intercept equal to 0?
1 0
This is a t-test with the intercept>0 being positive (red/yellow).
Contrast 2 (slope.mtx)
Null Hypothesis: is the slope equal to 0?
0 1
This is a t-test with the slope>0 being positive (red/yellow).
mri_glmfit command
This is an example invocation of mri_glmfit. Depending upon your application, you may have other options as well.
mri_glmfit \ --glmdir g1v1 \ --y y.mgh \ --fsgd g1v1.fsgd \ --C intercept.mtx \ --C slope.mtx