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On the Spectrum

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From Chronnectivity To Chronnectopathy: Connectivity Dynamics of Typical Development<br />

Statistical Analyses<br />

Statistical analyses were carried out in Matlab (version R2011b) using <strong>the</strong> statistics toolbox<br />

and linear model class. Multiple linear regression was used to examine associations with<br />

connectivity metrics. Two separate models were used to investigate associations with sFNC,<br />

dFNC and summary metrics from dFNC such as MDT and FT: first model where age, sex and<br />

age-sex interaction were entered as independent (predictor) variables and main effects for<br />

each were examined, and a second model where autistic traits (SRS) was entered as <strong>the</strong><br />

independent variable and age, sex and age-sex interaction were added as covariates. All of<br />

<strong>the</strong> results reported correspond to a false discovery rate multiple comparison correction<br />

threshold q < 0.05.<br />

The following models were used for investigating associations with sFNC. We also checked<br />

<strong>the</strong> effects of interaction between age-sex and SRS-sex (in Model-1: β I<br />

age i<br />

* sex i<br />

; in Model-2:<br />

β I<br />

SRS i<br />

* sex i<br />

).<br />

Model-1 sFNC<br />

: sFNC i<br />

~ β 0<br />

+β 1<br />

age i<br />

+ β 2<br />

sex i<br />

+ε i<br />

Model-2 sFNC<br />

: sFNC i<br />

~ β 0<br />

+β 1<br />

SRS i<br />

+ β 2<br />

age i<br />

+ β 3<br />

sex i<br />

+ε i<br />

For dFNC analyses, we computed a subject median (computed element-wise) for each<br />

partition from <strong>the</strong> subject windows that were assigned to that partition as a representative<br />

pattern of connectivity of <strong>the</strong> subject for that state. To investigate if <strong>the</strong> observed effects of<br />

age, sex and SRS on sFNC are primarily driven by certain dynamic FNC states, we used <strong>the</strong>se<br />

subject medians for each state, as well as <strong>the</strong> summary matrices for each state, and evaluated<br />

<strong>the</strong> associations using two separate models as mentioned above.<br />

5<br />

The following models were used for investigating associations with dFNC. We also checked<br />

<strong>the</strong> effects of interaction between age-sex and SRS-sex (in Model-3: β I<br />

age i<br />

* sex i<br />

; in Model-4:<br />

β I<br />

SRS i<br />

* sex i<br />

).<br />

Model-3 dFNC<br />

: dFNC i state (k) ~ β 0<br />

+β 1<br />

age i<br />

+ β 2<br />

sex i<br />

+ε i<br />

Model-4 dFNC<br />

: dFNC i<br />

state (k)<br />

~ β 0<br />

+β 1<br />

SRS i<br />

+ β 2<br />

age i<br />

+ β 3<br />

sex i<br />

+ε i<br />

The following models were used for investigating associations with summary matrices of<br />

dFNC (MDT and FT). We also checked <strong>the</strong> effects of interaction between age-sex and SRS-sex<br />

(in Model-5 and Model-7: β I<br />

age i<br />

* sex i<br />

; in Model-6 and Model-8: β I<br />

SRS i<br />

* sex i<br />

).<br />

Model-5 MDT<br />

: MDT i<br />

~ β 0<br />

+β 1<br />

age i<br />

+ β 2<br />

sex i<br />

+ε i<br />

Model-6 MDT<br />

: MDT i<br />

~ β 0<br />

+β 1<br />

SRS i<br />

+ β 2<br />

age i<br />

+ β 3<br />

sex i<br />

+ε i<br />

117

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