Zero part

β_{00}

overall intercept

mean of the logodds of no eating across all participants when all predictors are equal to 0

β_{01}

fixed effect of L1predictor

expected change in logodds of no eating for a oneunit increase in L1predictor

β_{02}

fixed effect of L2predictor

expected change in logodds of no eating for a oneunit increase in L2predictor

u_{01j}

random effect of L1predictor in person j

personspecific differences in the effect of L1predictor on the logodds of no eating

u_{0j}

random intercept of person j

personspecific differences in the logodds of no eating

\(\sqrt{{{\sigma }^{2}}_{{u}_{0}}}\)

standard deviation of the random intercept u_{0}

variation of betweenperson differences in the logodds of no eating

\(\sqrt{{{\sigma }^{2}}_{{u}_{01}}}\)

standard deviation of the random effect u_{01}

variation of betweenperson differences in the effect of L1predictor on the logodds of no eating

Continuous part

β_{10}

overall intercept

mean of the (log) amount consumed across all participants when all predictors are equal to 0 given that dietary intake occurred

β_{11}

fixed effect of L1predictor

expected change in the (log) amount consumed for a oneunit increase in L1predictor

β_{12}

fixed effect of L2predictor

expected change in the (log) amount consumed for a oneunit increase in L2predictor

u_{11j}

random effect of L1predictor in person j

personspecific differences in the effects of L1predictor on the (log) amount consumed

u_{1j}

random intercept of person j

personspecific differences in the (log) amount consumed

\(\sqrt{{{\sigma }^{2}}_{{u}_{1}}}\)

standard deviation of the random intercept u_{1}

variation of betweenperson differences in the expected (log) amount consumed

\(\sqrt{{{\sigma }^{2}}_{{u}_{11}}}\)

standard deviation of the random effect u_{11}

variation of betweenperson differences in the effect of L1predictor on the expected (log) amount consumed

Crosspart correlation

\({\rho }_{{u}_{0}{u}_{1}}\)

correlation between the random intercepts u_{0} and u_{1} of the zero and continuous part

correlation between the personspecific differences in the logodds of no eating and the personspecific difference in the (log) amount consumed
