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. 2019 Aug 21;39(34):6613–6625. doi: 10.1523/JNEUROSCI.0380-19.2019

Table 4.

Parameter estimates for the LME models used to assess changes in vesicles

Estimate SE
LME model: log(total + 1)
    Random effects SE
        Dendrite (Intercept) 0.0839
        Mouse (Intercept) 0.2772
        Residual 0.5500
    Fixed effects Level
        Intercept 5.1680 0.1807
        Condition EW (reference) 0 0
SW −0.7498 0.2397
S −0.2606 0.2227
        ASI Continuous (linear) 0.5574 0.0313
        Condition × ASI EW (reference) 0 0
SW −0.0990 0.0418
S −0.0616 0.0392
LME model: log(near + 1)
    Random effects SE
        Dendrite (Intercept) 0.0460
        Mouse (Intercept) 0.2474
        Residual 0.5029
    Fixed effects Level
        Intercept 4.7404 0.1610
        Condition EW (reference) 0 0
SW −0.7737 0.2135
S −0.1821 0.1984
        ASI Continuous (linear) 0.8070 0.0286
        Condition × ASI EW (reference) 0 0
SW −0.1545 0.0382
S −0.0954 0.0357
LME model: sqrt(near/total)
    Random effects SE
        Mouse (Intercept) 0.0554
        Mouse (ASI) 0.0152
        Residual 0.1440
    Fixed effects Level
        Intercept 0.7766 0.0223
        Condition EW (reference) 0 0
SW 0.0363 0.0183
S 0.0509 0.0170
        ASI Continuous (log) 0.0742 0.0183

A log transformation was applied to the number of total and near vesicles to give the residuals an approximate Gaussian distribution. Because some synapses had zero vesicles, we added one to the total/near value before applying the transformation to ensure the log was well defined. For both total and near vesicles, a Q–Q plot showed mild violations of the normality assumption in the lower tail due to boundary effects (boundary at 0). A square-root transformation was applied to the ratio of near to total vesicles to give the residuals an approximate Gaussian distribution. The Q–Q plot showed mild violations of the normality assumption because of boundary effects at both ends of the range (boundaries at 0 and 1).