Transition function data
ttdata evaluates the transition function for
observations of the threshold variable. To plot transition functions of threshold transitions,
Evaluate Transition Function
Create logistic threshold transitions at levels 0 and 5.
t = [0 5]; tt = threshold(t,Type="logistic");
tt is a
threshold object. By default, the rate of each logistic transition function is
Evaluate the transition function at a sequence of transition variable data from -10 to 10.
z = -10:0.01:10; F = ttdata(tt,z); size(F)
ans = 1×2 2001 2
F is a 2001-by-2 vector of transition function data. Each column is the transition function data for the corresponding threshold in
Plot Transition Functions at Respective Levels
To facilitate comparisons among transition rates, the
Type="graph" option of
ttplot graphs all transition functions at the same level. This example shows how to graph transition functions each at their respective level.
Create normal threshold transitions at levels 0 and 5 with rates 0.5 and 1.5, respectively.
tt = threshold([0 5],Type="normal",Rates=[0.5 1.5]);
Evaluate the transition functions at their respective level (the default), and then evaluate them each relative to level 0. Specify a sequence of transition variable data from -10 to 10.
z = -10:0.01:10; n = numel(z); T0 = ttdata(tt,z); T1 = ttdata(tt,z,UseZeroLevels=true);
T0 is an
n-by-1 vector of raw transition function data evaluated at the grid of transition variable data.
T1 is an
n-by-1 vector of transition function data translated to be centered at level 0.
Plot both sets of transition functions separately.
% Raw transition functions figure plot(z,T0,LineWidth=2) xline(tt.Levels,'--') grid on xlabel("Level") legend(["Level 0, Rate 0.5" "Level 5, Rate 1.5"],Location="northwest")
% Shifted transition functions figure plot(z,T1,LineWidth=2) grid on xlabel("Distance from Level") legend(["Level 0, Rate 0.5" "Level 5, Rate 1.5"],Location="northwest")
tt — Threshold transitions
Threshold transitions, with
NumStates states, specified as a
tt must be fully specified (no
z — Threshold variable data
Threshold variable data, specified as a numeric vector.
tf — Flag indicating whether to compute data with all levels set to zero
false (default) |
Flag indicating whether to compute data with all levels set to 0, specified as a value in this table:
|Computes transformation function data with all levels set to 0. This setting is useful for comparing transition rates.|
|Computes raw transformation function data.|
T — Transition function data
Transition function data
returned as a numeric matrix. F is specified by
T gives transition function values relative to each
tt.Levels. The number of rows of
equal to the length of
z and the number of columns is equal to the
number of levels. For details, see