Model-free estimation of a psychometric function

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h = bandwidth_bootstrap(r,m,x,H,N,h0,link,guessing,lapsing,K,p,ker,maxiter,tol,method);

Bootstrap estimate of the optimal bandwidth h for a local polynomial estimate of the psychometric function with specified guessing and lapsing rates.

Input:

r: number of successes at points x

m: number of trials at points x

x: stimulus levels

H: search interval

N: number of bootstrap replications

Optional Input:

h0: pilot bandwidth; if not specified, then the scaled plug-in bandwidth is used

link: name of the link function; default is 'logit'

guessing: guessing rate; default is 0

lapsing: lapsing rate; default is 0

K: power parameter for Weibull and reverse Weibull link; default is 2

p: degree of the polynomial; default is 1

ker: kernel function for weights; default is 'normpdf'

maxiter: maximum number of iterations in Fisher scoring; default is 50

tol: tolerance level at which to stop Fisher scoring; default is 1e-6

method: loss function to be used in bootstrap: choose from: 'ISEeta', 'ISE', 'deviance'; by default all possible values are calculated

Output:

h: bootstrap bandwidth for the chosen method; if no method is specified, then it is three-row vector with entries corresponding to the estimated bandwidths on a p-scale, on an eta-scale and for deviance

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