Re: [Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance
they all look ok except that these should be C13) gr1+gr2-vs-gr3+gr4.intercept 0.5 0.5 -0.5 -0.5 0 0 0 0 C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.5 0.5 -0.5 -0.5 On 10/13/17 11:30 AM, std...@virgilio.it wrote: > I have applied the contrasts that we discussed in the previous mails but they > produce doubt results. > > In summary, I aim to look at: > A- Difference between groups without considerer the covariate effect (I > suppose that the maps will be in the intercept folder) ---> ANOVA between 4 > groups > B- Clusters in which the fMRI (dependent variable) is associated to the > structural data (covariate), taking in account the groups (I suppose that the > maps will be in the slope folder) ---> MANOVA between 4 groups > > Please could you check the contrast reported below? I suspect that there are > some errors because, looking at results: > The slope map is the inverse in color of the intercept map and the intercept > did not correspond to the results which I obtain by using G4V0 > > C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 > C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 > C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 > C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 > C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 > C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 > C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 > C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 > C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 > C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 > C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 > C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 > C13) gr1+gr2-vs-gr3+gr4.intercept 0.25 0.25 0.25 0.25 0 0 0 0 > C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.25 0.25 0.25 0.25 > C15) group.effect.intercept > 1 -1 0 0 0 0 0 0 > 1 0 -1 0 0 0 0 0 > 1 0 0 -1 0 0 0 0 > C16) group.effect.slope > 0 0 0 0 1 -1 0 0 > 0 0 0 0 1 0 -1 0 > 0 0 0 0 1 0 0 -1 > > Best regards > > > Stefano > > >> Messaggio originale >> Da: "Douglas N Greve" <gr...@nmr.mgh.harvard.edu> >> Data: 11-ott-2017 17.28 >> A: <std...@virgilio.it>, <freesurfer@nmr.mgh.harvard.edu> >> Ogg: Re: [Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of > covariance >> the rational is to make them sum to 1.0 so that the gamma.mgh file has >> units of mm (or whatever the input units are). It is unimportant for >> p-values. >> >> >> On 10/10/2017 01:54 PM, std...@virgilio.it wrote: >>> Thanks >>> >>> In which contrast I must change "1" with "0.25"? >>> What is the rationale to use 0.25? >>> >>> >>> Sent from Virgilio Mobile >>> >>> >>> Il 10/10/2017, Douglas N Greve <gr...@nmr.mgh.harvard.edu> ha scritto: >>> >>> I don't understand what you mean by "where I should use" >>> >>> I thought I looked through all those contrasts a few weeks ago, no? >>> >>> >>> On 10/10/2017 04:22 AM, std...@virgilio.it wrote: >>>> You have suggested to use >>>> 0 0 0 0 .25 .25 .25 .25 >>>> to look the map where, considering the group differences, the covariate >>>> predicts the dependent variable (functional connectivity) in 4GV1. >>>> >>>> Below I'm reporting the contrast that I have used. >>>> Please could you check it and suggest correction? >>>> Could you explain where I should use 0 0 0 0 .25 .25 .25 .25, please? >>>> >>>> Thanks >>>> >>>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>>> C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 >>>> C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 >>>> C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 >>>> C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 >>>> C13) gr1+gr2-vs-gr3+gr4.intercept 0.5 0.5 -0.5 -0.5 0 0 0 0 >>>> C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.5 0.5 -0.5 -0.5 >>>> C15) group.effect.intercept >>>> 1 -1 0 0 0 0 0 0 >>>> 1 0 -1 0 0 0 0 0 >>>> 1 0 0 -1 0 0 0 0 >>>> C16) group.effect.slope >>>>> 0 0 0 0 1 -1 0 0 >>>>> 0 0 0 0 1 0 -1 0 >>>>> 0 0 0 0 1 0 0 -1 >>>> >>>> >>>> >>>> >>>> >>>> On 10/6/17 9:24 AM, std...@virgilio.it wrote: >&
[Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance
I have applied the contrasts that we discussed in the previous mails but they produce doubt results. In summary, I aim to look at: A- Difference between groups without considerer the covariate effect (I suppose that the maps will be in the intercept folder) ---> ANOVA between 4 groups B- Clusters in which the fMRI (dependent variable) is associated to the structural data (covariate), taking in account the groups (I suppose that the maps will be in the slope folder) ---> MANOVA between 4 groups Please could you check the contrast reported below? I suspect that there are some errors because, looking at results: The slope map is the inverse in color of the intercept map and the intercept did not correspond to the results which I obtain by using G4V0 C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 C13) gr1+gr2-vs-gr3+gr4.intercept 0.25 0.25 0.25 0.25 0 0 0 0 C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.25 0.25 0.25 0.25 C15) group.effect.intercept 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 0 0 0 0 C16) group.effect.slope 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 Best regards Stefano >Messaggio originale >Da: "Douglas N Greve" <gr...@nmr.mgh.harvard.edu> >Data: 11-ott-2017 17.28 >A: <std...@virgilio.it>, <freesurfer@nmr.mgh.harvard.edu> >Ogg: Re: [Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance > >the rational is to make them sum to 1.0 so that the gamma.mgh file has >units of mm (or whatever the input units are). It is unimportant for >p-values. > > >On 10/10/2017 01:54 PM, std...@virgilio.it wrote: >> Thanks >> >> In which contrast I must change "1" with "0.25"? >> What is the rationale to use 0.25? >> >> >> Sent from Virgilio Mobile >> >> >> Il 10/10/2017, Douglas N Greve <gr...@nmr.mgh.harvard.edu> ha scritto: >> >> I don't understand what you mean by "where I should use" >> >> I thought I looked through all those contrasts a few weeks ago, no? >> >> >> On 10/10/2017 04:22 AM, std...@virgilio.it wrote: >>> You have suggested to use >>> 0 0 0 0 .25 .25 .25 .25 >>> to look the map where, considering the group differences, the covariate >>> predicts the dependent variable (functional connectivity) in 4GV1. >>> >>> Below I'm reporting the contrast that I have used. >>> Please could you check it and suggest correction? >>> Could you explain where I should use 0 0 0 0 .25 .25 .25 .25, please? >>> >>> Thanks >>> >>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>> C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 >>> C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 >>> C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 >>> C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 >>> C13) gr1+gr2-vs-gr3+gr4.intercept 0.5 0.5 -0.5 -0.5 0 0 0 0 >>> C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.5 0.5 -0.5 -0.5 >>> C15) group.effect.intercept >>> 1 -1 0 0 0 0 0 0 >>> 1 0 -1 0 0 0 0 0 >>> 1 0 0 -1 0 0 0 0 >>> C16) group.effect.slope >>>> 0 0 0 0 1 -1 0 0 >>>> 0 0 0 0 1 0 -1 0 >>>> 0 0 0 0 1 0 0 -1 >>> >>> >>> >>> >>> >>> >>> On 10/6/17 9:24 AM, std...@virgilio.it wrote: >>>> Thank you very much. >>>> Where I should put 0 0 0 0 .25 .25 .25 .25? >>>> Which are the contrast reported below that I should modify? >>>> >>>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>>> C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 >>>> C1
[Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance
I have applied the contrasts that we discussed in the previous mails but they produce doubt results. In summary, I aim to look at: A- Difference between groups without considerer the covariate effect (I suppose that the maps will be in the intercept folder) ---> ANOVA between 4 groups B- Clusters in which the fMRI (dependent variable) is associated to the structural data (covariate), taking in account the groups (I suppose that the maps will be in the slope folder) ---> MANOVA between 4 groups Please could you check the contrast reported below? I suspect that there are some errors because, looking at results: The slope map is the inverse in color of the intercept map and the intercept did not correspond to the results which I obtain by using G4V0 C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 C13) gr1+gr2-vs-gr3+gr4.intercept 0.25 0.25 0.25 0.25 0 0 0 0 C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.25 0.25 0.25 0.25 C15) group.effect.intercept 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 0 0 0 0 C16) group.effect.slope 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 Best regards Stefano >Messaggio originale >Da: "Douglas N Greve" <gr...@nmr.mgh.harvard.edu> >Data: 11-ott-2017 17.28 >A: <std...@virgilio.it>, <freesurfer@nmr.mgh.harvard.edu> >Ogg: Re: [Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance > >the rational is to make them sum to 1.0 so that the gamma.mgh file has >units of mm (or whatever the input units are). It is unimportant for >p-values. > > >On 10/10/2017 01:54 PM, std...@virgilio.it wrote: >> Thanks >> >> In which contrast I must change "1" with "0.25"? >> What is the rationale to use 0.25? >> >> >> Sent from Virgilio Mobile >> >> >> Il 10/10/2017, Douglas N Greve <gr...@nmr.mgh.harvard.edu> ha scritto: >> >> I don't understand what you mean by "where I should use" >> >> I thought I looked through all those contrasts a few weeks ago, no? >> >> >> On 10/10/2017 04:22 AM, std...@virgilio.it wrote: >>> You have suggested to use >>> 0 0 0 0 .25 .25 .25 .25 >>> to look the map where, considering the group differences, the covariate >>> predicts the dependent variable (functional connectivity) in 4GV1. >>> >>> Below I'm reporting the contrast that I have used. >>> Please could you check it and suggest correction? >>> Could you explain where I should use 0 0 0 0 .25 .25 .25 .25, please? >>> >>> Thanks >>> >>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>> C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 >>> C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 >>> C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 >>> C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 >>> C13) gr1+gr2-vs-gr3+gr4.intercept 0.5 0.5 -0.5 -0.5 0 0 0 0 >>> C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.5 0.5 -0.5 -0.5 >>> C15) group.effect.intercept >>> 1 -1 0 0 0 0 0 0 >>> 1 0 -1 0 0 0 0 0 >>> 1 0 0 -1 0 0 0 0 >>> C16) group.effect.slope >>>> 0 0 0 0 1 -1 0 0 >>>> 0 0 0 0 1 0 -1 0 >>>> 0 0 0 0 1 0 0 -1 >>> >>> >>> >>> >>> >>> >>> On 10/6/17 9:24 AM, std...@virgilio.it wrote: >>>> Thank you very much. >>>> Where I should put 0 0 0 0 .25 .25 .25 .25? >>>> Which are the contrast reported below that I should modify? >>>> >>>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>>> C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 >>>> C1
[Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance
I have applied the contrasts that we discussed in the previous mails but they produce doubt results. In summary, I aim to look at: A- Difference between groups without considerer the covariate effect (I suppose that the maps will be in the intercept folder) ---> ANOVA between 4 groups B- Clusters in which the fMRI (dependent variable) is associated to the structural data (covariate), taking in account the groups (I suppose that the maps will be in the slope folder) ---> MANOVA between 4 groups Please could you check the contrast reported below? I suspect that there are some errors because, looking at results: 1- The slope map is the inverse in color of the intercept map. 2- Newly, I would to verify whether the fcMRI difference observed between groups are associated to change in covariate (volume). C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 C13) gr1+gr2-vs-gr3+gr4.intercept 0.25 0.25 0.25 0.25 0 0 0 0 C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.25 0.25 0.25 0.25 C15) group.effect.intercept 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 0 0 0 0 C16) group.effect.slope 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 Best regards Stefano >Messaggio originale >Da: "Douglas N Greve" <gr...@nmr.mgh.harvard.edu> >Data: 11-ott-2017 17.28 >A: <std...@virgilio.it>, <freesurfer@nmr.mgh.harvard.edu> >Ogg: Re: [Freesurfer] R: Re: R: Re: R: Re: R: Re: R: Re: R: Re: Map of covariance > >the rational is to make them sum to 1.0 so that the gamma.mgh file has >units of mm (or whatever the input units are). It is unimportant for >p-values. > > >On 10/10/2017 01:54 PM, std...@virgilio.it wrote: >> Thanks >> >> In which contrast I must change "1" with "0.25"? >> What is the rationale to use 0.25? >> >> >> Sent from Virgilio Mobile >> >> >> Il 10/10/2017, Douglas N Greve <gr...@nmr.mgh.harvard.edu> ha scritto: >> >> I don't understand what you mean by "where I should use" >> >> I thought I looked through all those contrasts a few weeks ago, no? >> >> >> On 10/10/2017 04:22 AM, std...@virgilio.it wrote: >>> You have suggested to use >>> 0 0 0 0 .25 .25 .25 .25 >>> to look the map where, considering the group differences, the covariate >>> predicts the dependent variable (functional connectivity) in 4GV1. >>> >>> Below I'm reporting the contrast that I have used. >>> Please could you check it and suggest correction? >>> Could you explain where I should use 0 0 0 0 .25 .25 .25 .25, please? >>> >>> Thanks >>> >>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>> C9) gr2-gr4_intercept 0 1 0 -1 0 0 0 0 >>> C10) gr2-gr4_slope 0 0 0 0 0 1 0 -1 >>> C11) gr3-gr4_intercept 0 0 1 -1 0 0 0 0 >>> C12) gr3-gr4_slope 0 0 0 0 0 0 1 -1 >>> C13) gr1+gr2-vs-gr3+gr4.intercept 0.5 0.5 -0.5 -0.5 0 0 0 0 >>> C14) gr1+gr2-vs-gr3+gr4.slope 0 0 0 0 0.5 0.5 -0.5 -0.5 >>> C15) group.effect.intercept >>> 1 -1 0 0 0 0 0 0 >>> 1 0 -1 0 0 0 0 0 >>> 1 0 0 -1 0 0 0 0 >>> C16) group.effect.slope >>>> 0 0 0 0 1 -1 0 0 >>>> 0 0 0 0 1 0 -1 0 >>>> 0 0 0 0 1 0 0 -1 >>> >>> >>> >>> >>> >>> >>> On 10/6/17 9:24 AM, std...@virgilio.it wrote: >>>> Thank you very much. >>>> Where I should put 0 0 0 0 .25 .25 .25 .25? >>>> Which are the contrast reported below that I should modify? >>>> >>>> C1) gr1-gr2_intercept 1 -1 0 0 0 0 0 0 >>>> C2 )gr1-gr2_slope 0 0 0 0 1 -1 0 0 >>>> C3) gr1-gr3_intercept 1 0 -1 0 0 0 0 0 >>>> C4) gr1-gr3_slope 0 0 0 0 1 0 -1 0 >>>> C5) gr1-gr4_intercept 1 0 0 -1 0 0 0 0 >>>> C6) gr1-gr4_slope 0 0 0 0 1 0 0 -1 >>>> C7) gr2-gr3_intercept 0 1 -1 0 0 0 0 0 >>>> C8) gr2-gr3_slope 0 0 0 0 0 1 -1 0 >>>> C9)