+++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + April 1988 H O M A L S 8 0 Version 1.0 + + + + The HOMALS USERS GUIDE can be obtained from the + + Department of Data Theory, Wassenaarseweg 52, + + 2333 AK Leiden, The Netherlands. + + + + HOMALS80 is an adapted version of HOMALS in which all + + output is rescaled to 80 columns. + + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 H O M A L S 8 0 Version 1.0 Albert Gifi April 1988 Department of Data Theory University of Leiden Wassenaarseweg 52 2333 AK Leiden The Netherlands Echo of parameter cards 2-5 HOMALS OP TESTDATASET 47 9 9 2 8 46 0 0 0 0 0 0.00E+00 8 0 1 1 1 0 0 0 0 ========= Job nr. 1 ========= INPUT DATA SPECIFICATIONS: ------------------------- NAME: HOMALS OP TESTDATASET * PROBLEM PARAMETERS * ---------------------- Number of objects or individuals 47 Total number of variables in the data matrix 9 Number of analysis variables 9 Number of dimensions 2 Maximum number of categories over all variables 8 Total number of categories of the analysis variables 46 * ANALYSIS PARAMETERS * ----------------------- Maximum number of iterations 75 Convergence criterion 0.10E-04 * INPUT/OUTPUT PARAMETERS * --------------------------- Unit number of the data matrix 8 Parameter indicating the print of the data matrix 0 0: 10 objects 1: all objects Parameter indicating whether or not to print 1 object scores and category quantifications 0: no print 1: object scores 2: object scores and category quantifications 3: category quantifications per variable Parameter indicating whether or not and how to 1 plot object scores and category quantifications 0: no plot 1: unlabeled plot of object scores and labeled plot of all category quantifications 2: in addition, labeled plots of object scores and category quantifications of selected variables 3: labeled plot of all category quantifications and separate plots of category quantifications of selected variables Parameter to print and plot the discrimination measures 1 0: no 1: yes Number of categories for all variables 0 K: the category numbers for all variables equal K 0: the category numbers for all variables are ferent The unit number for output of object scores to 0 card, tape or disk (0: no such output required) The unit number for output of category quantifications 0 to card, tape or disk (0: no such output required) 1 Number of categories per variable: Number of Number of Number of Variable categories I Variable categories I Variable categories -------------------------------------------------------------------------- I I 1 6 I 4 8 I 7 3 2 5 I 5 5 I 8 5 3 5 I 6 6 I 9 3 0List of 10 rows of the data matrix: * * Variables * * * 1 2 3 4 5 6 7 8 9 Objects ************************************** 1 * 1 1 1 4 4 1 2 1 3 2 * 1 1 1 5 3 3 2 2 3 3 * 1 1 2 6 2 5 1 1 1 4 * 1 2 2 3 2 6 2 2 2 5 * 1 2 2 7 1 4 2 1 1 6 * 1 2 3 7 1 3 1 1 1 7 * 2 3 5 1 4 2 3 2 1 8 * 2 3 4 3 3 5 2 4 1 9 * 2 3 3 7 1 3 1 1 1 10 * 2 3 4 6 2 6 3 2 2 Marginal frequencies -------------------- * * Categories * * * Missing 1 2 3 4 5 6 7 8 Variables **************************************************** 1 * 0 6 7 7 12 11 4 2 * 0 3 3 10 6 25 3 * 0 2 14 17 7 7 4 * 0 3 5 9 9 5 9 6 1 5 * 0 10 11 14 11 1 6 * 0 3 2 3 4 22 13 7 * 0 6 28 13 8 * 0 18 15 5 6 3 9 * 0 16 12 19 1 THE HISTORY OF ITERATIONS Number of Total fit Difference between two iterations consecutive iterations 1 0.1572632 0.1572632 2 0.5220068 0.3647436 3 0.7083944 0.1863875 4 0.8106738 0.1022794 5 0.8470065 0.0363328 6 0.8591247 0.0121182 7 0.8634824 0.0043577 8 0.8652043 0.0017219 9 0.8659508 0.0007465 10 0.8663072 0.0003564 11 0.8664965 0.0001893 12 0.8666091 0.0001126 13 0.8666837 0.0000746 14 0.8667379 0.0000542 15 0.8667800 0.0000421 16 0.8668142 0.0000342 17 0.8668429 0.0000287 18 0.8668674 0.0000245 19 0.8668887 0.0000213 20 0.8669073 0.0000186 21 0.8669237 0.0000164 22 0.8669382 0.0000145 23 0.8669511 0.0000129 24 0.8669626 0.0000115 25 0.8669729 0.0000103 The iterative process stops because the convergence criterion is reached. The number of iterations is: 25 0Dimension Eigenvalue --------- ---------- 1 0.518 2 0.349 Discrimination measures per variable per dimension * * Dimension * * * 1 2 Variables ******************* 1 * 0.49 0.62 2 * 0.51 0.71 3 * 0.09 0.60 4 * 0.77 0.22 5 * 0.63 0.13 6 * 0.29 0.51 7 * 0.56 0.04 8 * 0.66 0.05 9 * 0.65 0.26 1 The plot of the discrimination measures ( * = origin ) +--+------+------+------+------+------+------+------+------+------+---+ 0.74 | | 0.70 | 2 | 0.66 | | 0.62 | 3 1 | 0.58 | | 0.54 | | 0.49 | 6 | 0.45 | | 0.41 | | 0.37 | | 0.33 | | 0.29 | | 0.25 | 9 | 0.21 | 4 | 0.17 | | 0.13 | 5 | 0.09 | | 0.04 | 7 8 | 0.00 | * | -0.04 | | +--+------+------+------+------+------+------+------+------+------+---+ 0.00 0.09 0.17 0.26 0.35 0.44 0.52 0.61 0.70 0.79 1The object scores are: * * Dimensions * * * 1 2 Objects ******************** 1 * -0.14 3.46 2 * -0.47 3.25 3 * -1.50 0.86 4 * -0.27 0.36 5 * -1.84 1.10 6 * -2.29 1.56 7 * -0.21 -1.54 8 * -0.13 -1.14 9 * -2.07 -0.02 10 * -0.07 -1.72 11 * -0.79 -1.39 12 * -0.97 -1.02 13 * -0.47 -1.12 14 * -1.20 -1.04 15 * -1.48 -0.48 16 * 0.18 0.75 17 * -1.06 -1.02 18 * 0.72 0.68 19 * -0.90 -0.89 20 * -0.06 0.01 21 * -0.60 -0.13 22 * -0.82 -0.53 23 * 0.91 0.61 24 * -0.14 -0.34 25 * 1.15 0.32 26 * 0.83 -0.13 27 * 1.09 0.25 28 * 0.67 0.37 29 * -1.26 -0.13 30 * 0.79 0.82 31 * 1.03 0.23 32 * 0.80 0.72 33 * 0.69 -0.83 34 * 0.07 -0.64 35 * 1.06 0.12 36 * 1.01 -0.26 37 * 1.09 -0.26 38 * 1.22 0.20 39 * 0.84 -0.78 40 * 1.21 0.00 41 * 0.88 0.39 42 * 1.16 -0.46 43 * 0.78 0.02 44 * 0.51 -0.13 45 * -1.49 0.28 46 * 0.46 -0.44 47 * 1.10 0.08 1 Object scores, unlabeled +--+------+------+------+------+------+------+------+------+------+---+ 3.46 | 1 | 3.19 | 1 | 2.91 | | 2.64 | | 2.37 | | 2.09 | | 1.82 | | 1.54 | 1 | 1.27 | | 0.99 | 1 1 | 0.72 | 1 12 1 | 0.44 | 1 1 1 1 | 0.17 | 1 131 | -0.11 | 1 1 1 1 1 11 1 | -0.38 | 1 1 1 111 | -0.65 | 1 1 1 | -0.93 | 1111 1 | -1.20 | 1 1 | -1.48 | 1 1 | -1.75 | 1 | +--+------+------+------+------+------+------+------+------+------+---+ -3.13 -2.54 -1.96 -1.37 -0.79 -0.20 0.38 0.97 1.56 2.14 1 Category quantifications, labeled by the original category numbers +--+------+------+------+------+------+------+------+------+------+---+ 3.35 | 1 | 3.11 | | 2.87 | | 2.63 | 1 | 2.39 | | 2.14 | | 1.90 | | 1.66 | 3 1 1 | 1.42 | | 1.18 | | 0.93 | 2 | 0.69 | 4 3 | 0.45 | 71 4+ + | 0.21 | 4 + 3 | -0.03 | 1 1 8 2 5 2 6 2 53 | -0.28 | 1 3 5 6 35 | -0.52 | 2 5 12 4 5 | -0.76 | 6 4 | -1.00 | 3 | -1.25 | 2 2 | +--+------+------+------+------+------+------+------+------+------+---+ -2.58 -2.06 -1.54 -1.03 -0.51 0.00 0.52 1.04 1.55 2.07 0 Summary of all cells (X,Y), marked : + in the plot containing more than 1 point identification Number of X Y points Point identification 0.74 0.45 2 24 0.89 0.45 2 35 0.30 0.21 2 34 END OF ANALYSIS