Confidence Intervals for comparing an individual's slope with a control group average slope
This SPSS macro outputs the percentage of controls that fall below a given individual's estimated slope (Crawford and Garthwaite, 2004).
Pairs of percentiles can be used to obtain endpoints of confidence intervals. For example the endpoints of a 95% CI correspond to percentiles which equal 0.025 and 0.975.
INPUT: the one sample t-test of slope of a single case versus control group (This is the variable tout outputted using the SPSS syntax at http://imaging.mrc-cbu.cam.ac.uk/statswiki/FAQ/singcase/multiW ), its degrees of freedom and the required percentile.
Desired inputs can be entered into the macro using the Data list statement below. Cutting and Pasting into a SPSS syntax window will run the program with results displayed in a new untitled spreadsheet.
DATA LIST free /tout df perc. BEGIN DATA. -8.895 12 0.975 -8.895 12 0.025 END DATA. define singcci ( !POS !TOKENS(1) / !POS !TOKENS(1) / !POS !TOKENS(1)). set errors=none. set formats f10.5. set mxloops=10000. compute #tv = -abs(!1). COMPUTE #lim = -2 . COMPUTE #CUMF1 = NCDF.T(#tv,!2,#LC1) . COMPUTE #ULIM = !3 . LOOP IF (#CUMF1 LT #ULIM) . + COMPUTE #lim = #LC1 . + COMPUTE #LC1 = #LC1 - #tv . + COMPUTE #CUMF1 = NCDF.T(#tv,!2,#LC1) . END LOOP . COMPUTE #CUMF2 = NCDF.T(#tv,!2,#lim) . COMPUTE #DIFF = 1 . LOOP IF (#DIFF GT .00005) . + DO IF (#CUMF2 LT #ULIM) . + COMPUTE #lim = (#lim - 0.010). + COMPUTE #CUMF2 = NCDF.T(#tv,!2,#lim) . + ELSE . + COMPUTE #lim = (#lim + 0.010) . + COMPUTE #CUMF2 = NCDF.T(#tv,!2,#lim) . + END IF . + COMPUTE #DIFF = ABS(#CUMF2 - #ULIM) . END LOOP . compute limit = cdfnorm(#lim/sqrt(!2+1))*100. EXECUTE . !ENDDEFINE. singcci tout df perc.