2004: Feb 15, 21:24

PROGRAM ISOPAC/CLUSPAC/MIX1DTA 
FOR CLUSTERING UNIVARIATE DATA (DATA ON THE LINE)
DEVELOPED AND PROGRAMMED BY DR. STANLEY L. SCLOVE
VERSION 3.2   2004: FEB 15 

Program MIX1DTA in the CLUSPAC Library
Copyright (C) 1991, 1992  Stanley Louis Sclove 

TRYPANOSOMES lengths (micrometers)/H.O. Lancaster/K. Pearson/Bruce                   

N =  500

MAX NO. OF COMPONENTS TO BE FIT, KUP =  4
MAX NO. OF ITERATIONS ALLOWED = 25*KUP =  100
TOLERANCE FOR MEANS IS  1.00000005E-03
TOLERANCE FOR VARIANCES IS  4.99999989E-03
TOLERANCE FOR -2 LL IS  1.00000005E-03

SAMPLE MIN =  15.0000000
SAMPLE MAX =  35.0000000

MEAN =        22.8320
M.L. ESTIMATE OF VARIANCE =      24.40778
MINUS 2 LOG LIKELIHOOD =      3016.3894
SSDEVS =     12203.8877   STDDEV =         4.9404

              AIC =      3020.3894
              BIC =      3028.8186
KASHYAP CRITERION =      3018.5408


K =  2 CLUSTERS

INITIAL VALUES OF PRIOR PROBS
       0.5000       0.5000

INITIAL MEANS
        21.67        28.33

INITIAL VALUE OF VARIANCES
        12.2039


 MINUS 2 LOG LIKELIHOOD =      2979.6453


 POOLED STATISTICS:  
WGSS =      4668.9453   WGMS =         9.3754

STD.ERROR=SQRT(WGMS) =        3.0619

ITERATION  1
BOUNDARIES:              24.7
MEANS:             20.01        28.18

 MINUS 2 LOG LIKELIHOOD =      2856.8940


 POOLED STATISTICS:  
WGSS =      3125.7737   WGMS =         6.2767

STD.ERROR=SQRT(WGMS) =        2.5053

ITERATION  2
BOUNDARIES:              24.1
MEANS:             19.65        28.54


RESULTS FOR FITTING  2  COMPONENTS

NUMBER OF ITERATIONS REQUIRED WAS  14
BOUNDARIES:               23.0
MEANS:             19.22        28.25
NUMBERS:          296          204
STD.DEVS.:          1.63         2.85
PROBS.:             0.60         0.40
M.L. ESTIMATE OF COMMON VARIANCE =        4.83966

NUMBER OF PARAMETERS =    5
              AIC =      2751.4373
              BIC =      2772.5103
KASHYAP CRITERION =      2767.0867
 K =  3 CLUSTERS

INITIAL VALUES OF PRIOR PROBS
       0.3333       0.3333       0.3333

INITIAL MEANS
        20.00        25.00        30.00
INITIAL VALUE OF VARIANCES
         8.1359

 MINUS 2 LOG LIKELIHOOD =      2891.0566

 POOLED STATISTICS:  
WGSS =      3121.2336   WGMS =         6.2801
STD.ERROR=SQRT(WGMS) =        2.5060

ITERATION  1
BOUNDARIES:              22.6     27.0
MEANS:             19.23        24.30        29.67

 MINUS 2 LOG LIKELIHOOD =      2757.0764


 POOLED STATISTICS:  
WGSS =      2797.3418   WGMS =         5.6285

STD.ERROR=SQRT(WGMS) =        2.3724

ITERATION  2
BOUNDARIES:              22.3     26.8
MEANS:             19.15        24.54        29.56
RESULTS FOR FITTING  3  COMPONENTS
NUMBER OF ITERATIONS REQUIRED WAS  7
BOUNDARIES:              22.0     26.7
MEANS:             19.04        24.65        29.43
NUMBERS:          296           57          147
STD.DEVS.:          1.47         3.63         2.20
PROBS.:             0.54         0.22         0.25
M.L. ESTIMATE OF COMMON VARIANCE =        5.20854

NUMBER OF PARAMETERS =    8
              AIC =      2751.5796
              BIC =      2785.2964
KASHYAP CRITERION =      2779.6523


K =  4 CLUSTERS

INITIAL VALUES OF PRIOR PROBS
       0.2500       0.2500       0.2500       0.2500
INITIAL MEANS
        19.00        23.00        27.00        31.00
INITIAL VALUE OF VARIANCES
         6.1019


 MINUS 2 LOG LIKELIHOOD =      2865.6167


 POOLED STATISTICS:  
WGSS =      2256.4229   WGMS =         4.5492

STD.ERROR=SQRT(WGMS) =        2.1329

ITERATION  1
BOUNDARIES:              21.3     24.8     28.7
MEANS:             18.88        21.63        27.32        30.32

 MINUS 2 LOG LIKELIHOOD =      2744.1907


 POOLED STATISTICS:  
WGSS =      2046.1814   WGMS =         4.1254

STD.ERROR=SQRT(WGMS) =        2.0311

ITERATION  2
BOUNDARIES:              21.3         24.7         28.7
MEANS:             18.92        21.47        27.53        30.20


RESULTS FOR FITTING  4  COMPONENTS
NUMBER OF ITERATIONS REQUIRED WAS  90
BOUNDARIES:              19.7         24.3         28.9
MEANS:             18.74        20.01        27.36        30.29
NUMBERS:          151          172           78           99
STD.DEVS.:          0.90         2.24         1.97         2.01
PROBS.:             0.27         0.37         0.19         0.17
M.L. ESTIMATE OF COMMON VARIANCE =        3.51463

NUMBER OF PARAMETERS =   11
              AIC =      2749.2544
              BIC =      2795.6150
KASHYAP CRITERION =      2791.1511

MODEL SELECTION CRITERIA
                -2LL            AIC        BIC            KASHYAP 

K=  1        3016.39        3020.39        3028.82        3018.54
K=  2        2741.44        2751.44        2772.51        2767.09
K=  3        2735.58        2751.58        2785.30        2779.65
K=  4        2727.25        2749.25        2795.61        2791.15