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This Concept Map, created with IHMC CmapTools, has information related to: multilevel models examples, Reactivity 0 b1, recovery (linear) 0 T2, response pattern y <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> P </mtext> <mfenced open="(" close=")"> <mtext> Y=y </mtext> </mfenced> </mrow> </math>, Baseline 1 b1, Task 1 T2, Baseline 1 t2, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> β </mtext> <mrow> <mmultiscripts> <mtext> s </mtext> <mtext> k </mtext> <none/> </mmultiscripts> <mtext> tj </mtext> </mrow> <mtext> k </mtext> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> β </mtext> <mrow> <mmultiscripts> <mtext> s </mtext> <mtext> k </mtext> <none/> </mmultiscripts> <mtext> t </mtext> </mrow> <mtext> k </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> σ </mtext> <mtext> s </mtext> <none/> </mmultiscripts> <mtext> ⋅ </mtext> <mmultiscripts> <mtext> e </mtext> <mtext> j </mtext> <none/> </mmultiscripts> </mrow> </math> waarbij de σs de categoriespecifieke parameters zijn en ej normal verdeeld is met 0,1, Recovery (quadratic) 33.0625 R3, nonparametric is NOT distribution free, recovery (linear) 1.5 R1, CP linear CP Task, Cook Medley speech linear, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> P(Y=y|X=x)= </mtext> <munderover> <mtext> ∏ </mtext> <mtext> l=1 </mtext> <mtext> L </mtext> </munderover> <mtext> P( </mtext> <mmultiscripts> <mtext> Y </mtext> <mtext> l </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> l </mtext> <none/> </mmultiscripts> <mtext> |X=x) </mtext> </math> combineren <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> P (Y=y)| X=x) = </mtext> <munderover> <sum/> <mtext> x=1 </mtext> <mtext> C </mtext> </munderover> <mtext> P(X=x) </mtext> <munderover> <mtext> ∏ </mtext> <mtext> l=1 </mtext> <mtext> L </mtext> </munderover> <mtext> P( </mtext> <mmultiscripts> <mtext> Y </mtext> <mtext> l </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> y </mtext> <mtext> l </mtext> <none/> </mmultiscripts> <mtext> | X=x) </mtext> </mrow> </math>, proportion of total variance accounted for by the level-2 units where the total variance equals the sum of level-1 and level-2 variances. Hedeker used this one <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> r </mtext> <mtext> It </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mfrac> <mmultiscripts> <mtext> τ </mtext> <mtext> t </mtext> <mtext> 2 </mtext> </mmultiscripts> <mrow> <mmultiscripts> <mtext> τ </mtext> <mtext> t </mtext> <mtext> 2 </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> π </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> /3 </mtext> </mrow> </mfrac> </mrow> </math>, Yij represents the BP measure for person j at time i. p0j is the intercept for the BP trajectory for participant j or the predicted BP value at baseline, where time 5 0 represents the baseline. p1j is the slope of the trajectory for participant j, or the true change from baseline to stress level per minute change in time. tij is the time, i, corresponding to each measurement for person j. And rij represents the random error or unexplained deviations from the line for person j. Llabre 2001 equition 1 <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> Y </mtext> <mtext> ij </mtext> <none/> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> π </mtext> <mtext> 0j </mtext> <none/> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> π </mtext> <mtext> 1j </mtext> <none/> </mmultiscripts> <mmultiscripts> <mtext> t </mtext> <mtext> ij </mtext> <none/> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> r </mtext> <mtext> ij </mtext> <none/> </mmultiscripts> </mrow> </math>, een random effects specificatie voor item bias in item k kan er zo uit zien <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> β </mtext> <mrow> <mmultiscripts> <mtext> s </mtext> <mtext> k </mtext> <none/> </mmultiscripts> <mtext> tj </mtext> </mrow> <mtext> k </mtext> </mmultiscripts> <mtext> = </mtext> <mmultiscripts> <mtext> β </mtext> <mrow> <mmultiscripts> <mtext> s </mtext> <mtext> k </mtext> <none/> </mmultiscripts> <mtext> t </mtext> </mrow> <mtext> k </mtext> </mmultiscripts> <mtext> + </mtext> <mmultiscripts> <mtext> σ </mtext> <mtext> s </mtext> <none/> </mmultiscripts> <mtext> ⋅ </mtext> <mmultiscripts> <mtext> e </mtext> <mtext> j </mtext> <none/> </mmultiscripts> </mrow> </math>, Recovery (quadratic) 14.0625 R2, speech task speech linear, weighted average of the C class-specific probabilities + assumption of LOCAL INDEPENDANCE, latente variabelen dit zijn de slope en intercept uit eq1