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REAL DATA EXAMPLE (N = 15 AND R = 3) 1
MULTI-RESPONSE PERMUTATION PROCEDURES
INPUT HAS 15 OBSERVATIONS
THERE WERE 3 DIMENSION(S)
IN: 2 GROUPS OF SIZES 8 7
C(I) = n(I)/sum(n(I))
GROUP NUMBER 1 OF SIZE 8 HAS AN AVERAGE DISTANCE = 1.4340297
GROUP NUMBER 2 OF SIZE 7 HAS AN AVERAGE DISTANCE = .95730897
1 (0) IMPLIES (NO) AVE. D.F. COMMENSURATION: 0
THE TEST STATISTIC IS = -8.8403724
THE DISTANCE EXPONENT = 1.0000000
THE UPPER BOUND VALUE = 100000.00
THE OBSERVED DELTA IS = 1.2115600
THE EXPECTED DELTA IS = 2.7508478
THE VARIANCE OF DELTA = .30317859E-01
THE SKEWNESS OF DELTA = -2.3073555
THE AGREEMENT MEASURE = .55956851
P-VALUE OF A SMALLER OR EQUAL DELTA = .10391202E-03
********************************************************
REAL DATA EXAMPLE (N = 15 AND R = 3) 2
MULTI-RESPONSE PERMUTATION PROCEDURES
INPUT HAS 15 OBSERVATIONS
THERE WERE 3 DIMENSION(S)
IN: 2 GROUPS OF SIZES 8 7
C(I) = n(I)/sum(n(I))
GROUP NUMBER 1 OF SIZE 8 HAS AN AVERAGE DISTANCE = .89157657E-02
GROUP NUMBER 2 OF SIZE 7 HAS AN AVERAGE DISTANCE = .59434636E-02
1 (0) IMPLIES (NO) AVE. D.F. COMMENSURATION: 1
THE TEST STATISTIC IS = -8.9136768
THE DISTANCE EXPONENT = 1.0000000
THE UPPER BOUND VALUE = 100000.00
THE OBSERVED DELTA IS = .75286914E-02
THE EXPECTED DELTA IS = .17259084E-01
THE VARIANCE OF DELTA = .11916452E-05
THE SKEWNESS OF DELTA = -2.3141732
THE AGREEMENT MEASURE = .56378384
P-VALUE OF A SMALLER OR EQUAL DELTA = .98643451E-04
********************************************************
REAL DATA EXAMPLE (N = 15 AND R = 3) 3
MULTI-RESPONSE PERMUTATION PROCEDURES
INPUT HAS 15 OBSERVATIONS
THERE WERE 3 DIMENSION(S)
IN: 2 GROUPS OF SIZES 8 7
C(I) = n(I)/sum(n(I))
GROUP NUMBER 1 OF SIZE 8 HAS AN AVERAGE DISTANCE = 5.5636146
GROUP NUMBER 2 OF SIZE 7 HAS AN AVERAGE DISTANCE = 4.9879208
MRPP VERSION OF C(N,H) RANKS TEST
C(N,H) RANKS TEST EXPONENT H = 1.0000000
1 (0) IMPLIES (NO) AVE. D.F. COMMENSURATION: 0
THE TEST STATISTIC IS = -8.4050176
THE DISTANCE EXPONENT = 1.0000000
THE UPPER BOUND VALUE = 100000.00
THE OBSERVED DELTA IS = 5.2949575
THE EXPECTED DELTA IS = 9.7143969
THE VARIANCE OF DELTA = .27647579
THE SKEWNESS OF DELTA = -2.2111691
THE AGREEMENT MEASURE = .45493708
P-VALUE OF A SMALLER OR EQUAL DELTA = .12815603E-03
********************************************************
REAL DATA EXAMPLE (N = 15 AND R = 3) 4
MULTIVARIATE HOTELLING-TYPE PERMUTATION TESTS
INPUT HAS 15 OBSERVATIONS
THERE WERE 3 DIMENSION(S)
IN: 2 GROUPS OF SIZES 8 7
C(I) = n(I)/sum(n(I))
GROUP NUMBER 1 OF SIZE 8 HAS AN AVERAGE DISTANCE = .61061782
GROUP NUMBER 2 OF SIZE 7 HAS AN AVERAGE DISTANCE = .35995237
THE TEST STATISTIC IS = -5.2005982
THE DISTANCE EXPONENT = 1.0000000
THE UPPER BOUND VALUE = 100000.00
THE OBSERVED DELTA IS = .49364061
THE EXPECTED DELTA IS = .61211735
THE VARIANCE OF DELTA = .51899071E-03
THE SKEWNESS OF DELTA = -.87378685
THE AGREEMENT MEASURE = .19355233
P-VALUE OF A SMALLER OR EQUAL DELTA = .22972552E-03
********************************************************
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