NEA-0908 STATISTICS.

1. NAME OR DESIGNATION OF PROGRAM:  STATISTICS.
Program package for statistical analysis of experimental data.

3. DESCRIPTION OF PROBLEM OR FUNCTION

The package is composed of 83 routines, the most important of which are the following:

Name      Description
----      -----------
BINDTR    Binomial distribution
HYPDTR    Hypergeometric distribution
POIDTR    Poisson distribution
GAMDTR    Gamma distribution
BETADTR   Beta-1 and Beta-2 distributions
NORDTR    Normal distribution
CHIDTR    Chi-square distribution
STUDTR    Distribution of "Student's T"
FISDTR    Distribution of F
EXPDTR    Exponential distribution
WEIDTR    Weibull distribution
FRAKTIL   Calculation of the fractiles of the normal, chi-square,
          Student's, and F distributions
VARVGL    Test for equality of variance for several sample
          observations
ANPAST    Kolmogorov-Smirnov test and chi-square test of goodness
          of fit
MULIRE    Multiple linear regression analysis for a dependent
          variable and a set of independent variables
STPRG     Performs a stepwise multiple linear regression analysis
          for a dependent variable and a set of independent
          variables. At each step, the variable entered into the
          regression equation is the one which has the greatest
          amount of variance between it and the dependent variable.
          Any independent variable can be forced into or deleted
          from the regression equation, irrespective of its contri-
          bution to the equation.
LTEST     Tests the hypotheses of linearity of the data.
SPRANK    Calculates the Spearman rank correlation coefficient.

4. METHOD OF SOLUTION


Name      Method
----      ------
VARVGL    The Bartlett's Test, the Cochran's Test and the Hartley's
          Test are performed in the program.
MULIRE    The Gauss-Jordan method is used in the solution of the
          normal equations.
STPRG     The abbreviated Doolittle method is used to (1) determine
          variables to enter into the regression, and (2) complete
          regression coefficient calculation.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

VARVGL: The Hartley's Test is only performed if the sample observa-          tions are all of the same size.

6. TYPICAL RUNNING TIME:

NEA-DB ran the test cases on a PC/386 desktop computer.

7. UNUSUAL FEATURES OF THE PROGRAM:

8. RELATED AND AUXILIARY PROGRAMS:

10. REFERENCES

- M. Abramowitz, I.A. Stegun:
  Handbook of Mathematical Functions
- Lothar Sachs:
  Angewandte Statistik
  Springer-Verlag Berlin, Heidelberg, New York
- Bernard Ostle:
  Statistics in Research
  The Iowa State University Press
- Kleinbaum/Kupper:
  Applied Regression Analysis and Other Multivariable Methods
  Duxbury Press

- Franz Helmreich:
  Regression and Correlation Analysis I
  OEFZS Ber. No. 4098 (MA-48/81), July 1981 (In German)
- Franz Helmreich:
  Statistical Distributions
  OEFZS Ber. No. 4116 (MA-49/81), October 1981 (In German)

11. MACHINE REQUIREMENTS

Line printer.
VARVGL requires in addition a direct-access device for unit numbers  48 and 49.

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  SIEMENS-BS 2000.

The desktop computer performing the tests ran under MSDOS 4.01.

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

15. NAME AND ESTABLISHMENT OF AUTHOR

F. Helmreich
Oesterreichisches Forschungszentrum Seibersdorf G.m.b.H.
A-1082 VIENNA
Lenaugasse 10
Austria.

File name	File description	Records
NEA0908_02.001	Information file	209
NEA0908_02.002	Batch file to compile and run	36
NEA0908_02.003	Response file	12
NEA0908_02.004	Cross reference file	319
NEA0908_02.005	Binary library	0
NEA0908_02.006	Sample input	23
NEA0908_02.007	Sample input	23
NEA0908_02.008	Sample input	450
NEA0908_02.009	Source file	62
NEA0908_02.010	Source file	95
NEA0908_02.011	Source file	93
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NEA0908_02.104	Sample output	513
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NEA0908_02.115	Sample input	1
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NEA0908_02.122	Source file	279
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NEA0908_02.129	Sample output	52
NEA0908_02.130	Sample output	546
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NEA0908_02.133	Sample output	182
NEA0908_02.134	Sample output	508
NEA0908_02.135	Sample output	183
NEA0908_02.136	Batch file to compile and link	15
NEA0908_02.137	Binary library	0
NEA0908_02.138	DOS file-names	37