@bmd:bmdp7d *bmdp7d.ibs=ibs.bmd CPU time 2.29 Elapsed time 34.11 @type ibs.bmd /PROBLEM TITLE IS 'ED250A: BMDP7V FOR UNEQUAL VARIANCES'. /INPUT VARIABLES ARE 2. FORMAT IS '(F4.1,1X,F1.0)'. CASES ARE 24. FILE IS 'CLASS:IBS.DAT'. /VARIABLE NAMES ARE RELIEF,TRTMNT. /HISTOGRAM GROUPING IS TRTMNT. /PRINT PLOT. /END @ @ @type bmdp7d.ibs 1PAGE 1 BMDP7D BMDP7D - DESCRIPTION OF GROUPS (STRATA) WITH HISTOGRAMS AND ANALYSIS OF VARIANC E BMDP STATISTICAL SOFTWARE, INC. 1964 WESTWOOD BLVD. SUITE 202 (213) 475-5700 PROGRAM REVISED OCTOBER 1983 MANUAL REVISED -- 1983 COPYRIGHT (C) 1983 REGENTS OF UNIVERSITY OF CALIFORNIA TO SEE REMARKS AND A SUMMARY OF NEW FEATURES FOR THIS PROGRAM, STATE NEWS. IN THE PRINT PARAGRAPH. 0THIS VERSION OF BMDP HAS BEEN CONVERTED FOR USE ON DEC 10/20 COMPUTERS BY MANAGEMENT SCIENCE ASSOCIATES, INC. 5100 CENTRE AVENUE PITTSBURGH, PA 15232 (412) 683-9533 LATEST REVISION APRIL, 1985 24-Jan-89 AT 14:09 PROGRAM CONTROL INFORMATION /PROBLEM TITLE IS 'ED250A: BMDP7V FOR UNEQUAL VARIANCES'. /INPUT VARIABLES ARE 2. FORMAT IS '(F4.1,1X,F1.0)'. CASES ARE 24. FILE IS 'CLASS:IBS.DAT'. /VARIABLE NAMES ARE RELIEF,TRTMNT. /HISTOGRAM GROUPING IS TRTMNT. /PRINT PLOT. /END PROBLEM TITLE IS ED250A: BMDP7V FOR UNEQUAL VARIANCES NUMBER OF VARIABLES TO READ IN. . . . . . . . . 2 NUMBER OF VARIABLES ADDED BY TRANSFORMATIONS. . 0 TOTAL NUMBER OF VARIABLES . . . . . . . . . . . 2 NUMBER OF CASES TO READ IN. . . . . . . . . . . 24 CASE LABELING VARIABLES . . . . . . . . . . . . MISSING VALUES CHECKED BEFORE OR AFTER TRANS. . NEITHER BLANKS ARE. . . . . . . . . . . . . . . . . . . MISSING INPUT UNIT NUMBER . . . . . . . . . . . . . . . 33 FILE . . . . CLASS:IBS.DAT REWIND INPUT UNIT PRIOR TO READING. . DATA. . . YES NUMBER OF WORDS OF DYNAMIC STORAGE. . . . . . . 15361 NUMBER OF CASES DESCRIBED BY INPUT FORMAT . . . 1 VARIABLES TO BE USED 1 RELIEF 2 TRTMNT 0INPUT FORMAT IS (F4.1,1X,F1.0) MAXIMUM LENGTH DATA RECORD IS 6 CHARACTERS. 0I N P U T V A R I A B L E S . . . . . VARIABLE RECORD COLUMNS FIELD TYPE VARIABLE RECORD COLUMNS FIELD TYPE INDEX NAME NO. BEGIN END WIDTH INDEX NAME NO. BEGIN END WIDTH ----- -------- ---- ----- ----- ----- ---- ----- -------- ---- ----- ----- ----- ---- 1 RELIEF 1 1 4 4.1 F 2 TRTMNT 1 6 6 1 F 0BASED ON INPUT FORMAT SUPPLIED 1 RECORDS READ PER CASE. NUMBER OF CASES READ. . . . . . . . . . . . . . 24 PRINT DATA MATRIX . . . . . . . . . . . . . . . NO PRINT DATA MATRIX AFTER ORDERING. . . . . . . . NO PRINT WINSORIZING TABLE . . . . . . . . . . . . NO PRINT CORRELATION TABLE . . . . . . . . . . . . NO 1PAGE 2 BMDP7D ED250A: BMDP7V FOR UNEQUAL VARIANCES INTERVAL RANGE VARIABLE MINIMUM MAXIMUM MISSING CATEGORY CATEGORY GREATER LESS THAN NO. NAME LIMIT LIMIT CODE CODE NAME THAN OR = TO 2 TRTMNT 1.00000 *1.00000 2.00000 *2.00000 3.00000 *3.00000 0NOTE--CATEGORY NAMES BEGINNING WITH * WERE GENERATED BY THE PROGRAM. 1PAGE 3 BMDP7D ED250A: BMDP7V FOR UNEQUAL VARIANCES ************ ************ HISTOGRAM OF * RELIEF * (VARIABLE 1). CASES DIVIDED INTO GROUPS BASED ON V ALUES OF * TRTMNT * (VARIABLE 2) ************ ************ *1.00000 *2.00000 *3.00000 .............................+.............................+.......... ...................+ MIDPOINTS 52.000) 48.000) * 44.000) * 40.000) * 36.000) 32.000) 28.000) M* 24.000) 20.000) * 16.000) ** * 12.000)** M*** * 8.000)M** 4.000)*** * * GROUP MEANS ARE DENOTED BY M'S IF THEY COINCIDE WITH *'S, N'S OTHERWISE MEAN 6.463 12.337 27.350 STD.DEV. 3.218 4.526 15.656 R.E.S.D. 3.232 4.237 16.916 S. E. M. 1.138 1.600 5.535 MAXIMUM 11.700 19.800 48.600 MINIMUM 2.300 4.100 5.400 SAMPLE SIZE 8 8 8 0ALL GROUPS COMBINED *************** ANALYSIS OF VARIANCE TABLE **************** (EXCEPT CASES WITH * TEST SOURCE SUM SQS. DF MEAN SQ. F P UNUSED VALUES FOR *STANDARD BETWEEN 1856.476 2 928.24 10.09 .0008 VARIABLE TRTMNT ) * WITHIN 1931.737 21 91.99 ************* LEVENE TEST FOR EQUAL VARIANCES ************* MEAN 15.383 * BETWEEN 2 259.20 10.27 .0008 STD.DEV. 12.834 * WITHIN 21 25.24 R.E.S.D. 12.292 *********** TESTS NOT ASSUMING EQUAL VARIANCES ************ S. E. M. 2.620 *WELCH BETWEEN 2 10.16 9.63 .0032 MAXIMUM 48.600 * WITHIN 12 1.05 MINIMUM 2.300 * SAMPLE SIZE 24 *BROWN- BETWEEN 2 1856.48 10.09 .0050 *FORSYTHE WITHIN 9 183.98 1PAGE 4 BMDP7D ED250A: BMDP7V FOR UNEQUAL VARIANCES DIAGNOSTIC PLOTS TO DETERMINE WHETHER THERE IS A RELATIONSHIP BETWEEN CELL MEANS AND CELL STANDARD DEVIATIONS. FOR THE USE OF THE REGRESSION OF LOG CELL STANDARD DEVIATION ON LOG CELL MEAN WHEN SELECTING A TRANSFORMATION SEE BOX AND COX, 'AN ANALYSIS OF TRANSFORMATIONS,' J. ROYAL. STATIST. SOC. B 26 (1964), PP. 211-252. THE VERTICAL AXES REPRESENT THE ESTIMATES OF THE STANDARD DEVIATION BASED ON THE MEAN DEVIATIONS FROM THE GROUP MEAN AND ITS NATURAL LOG. THE HORIZONTAL AXES REPRESENT THE GROUP MEAN AND ITS NATURAL LOG. THE LOGARITHMIC PLOT IS NOT MADE WHEN LOGARITHMS CANNOT BE EVALUATED. ........+.......+.......+.......+.......+.......+.XYY - - - * - E - - S 16 + + T - - I - - M - - A - - T - - E - - - - O 12 + + F - - - - S - - T - - A - - N - - D - - A 8. + + R - - D - - - - D - - E - - V - - I - - A 4. + * + T - - I - * - O - - N - - - - - - - - 0. Y + ........+.......+.......+.......+.......+.......+.... 12 20 28 8. 16 24 N = 3 R = .9780 MEAN MEAN ST.DEV. REGRESSION LINE RES.MS. X 15.383 10.772 X= 1.3813*Y+ 4.1556 10.110 Y 8.1284 7.6265 Y= .69242*X-2.5232 5.0681 .....+.......+.......+.......+.......+.......+...X.Y. - - - * - L 2.8 + + O - - G - - - - O - - F - - - - T - - H 2.4 + + E - - - - E - - S - - T - - . - - - - O 2.0 + + F - - - - S - - T - - A - - N - - D - - . 1.6 + + - - D - - E - * - V - - . - - - - - - 1.2 + + - * - .....+...Y.X.+.......+.......+.......+.......+....... 2.1 2.7 3.3 1.8 2.4 3.0 N = 3 R = .9521 LOG OF THE MEAN MEAN ST.DEV. REGRESSION LINE RES.MS. X 2.5625 .72264 X= .77500*Y+ 1.1557 .09768 Y 1.8151 .88776 Y= 1.1696*X-1.1820 .14742 1PAGE 5 BMDP7D ED250A: BMDP7V FOR UNEQUAL VARIANCES ************ ************ HISTOGRAM OF * TRTMNT * (VARIABLE 2). CASES DIVIDED INTO GROUPS BASED ON V ALUES OF * TRTMNT * (VARIABLE 2) ************ ************ *1.00000 *2.00000 *3.00000 .............................+.............................+.......... ...................+ MIDPOINTS 3.240) 3.060) M******* 2.880) 2.700) 2.520) 2.340) 2.160) 1.980) M******* 1.800) 1.620) 1.440) 1.260) 1.080)M******* GROUP MEANS ARE DENOTED BY M'S IF THEY COINCIDE WITH *'S, N'S OTHERWISE MEAN 1.000 2.000 3.000 STD.DEV. 0.000 0.000 0.000 R.E.S.D. 0.000 0.000 0.000 S. E. M. 0.000 0.000 0.000 MAXIMUM 1.000 2.000 3.000 MINIMUM 1.000 2.000 3.000 SAMPLE SIZE 8 8 8 0VARIABLE HAS ZERO RANGE. NO PLOTS WILL BE PRINTED. NUMBER OF INTEGER WORDS OF STORAGE USED IN PRECEDING PROBLEM 2418 CPU TIME USED 1.872 SECONDS 1PAGE 6 BMDP7D