ACM Home Page
Please provide us with feedback. Feedback
Algorithm 591: A Comprehensive Matrix-Free Algorithm for Analysis of Variance
Full text PdfPdf (1.24 MB)
Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 8 ,  Issue 4  (December 1982) table of contents
Pages: 383 - 401  
Year of Publication: 1982
ISSN:0098-3500
Author
William J. Hemmerle  Department of Computer Science and Experimental Statistics, University of Rhode Island, Kingston, RI
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 6,   Downloads (12 Months): 21,   Citation Count: 0
Additional Information:

appendices and supplements   references   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/356012.356018
What is a DOI?

APPENDICES and SUPPLEMENTS
gZip591.gz (18 KB)
storage-efficient analysis of variance of balanced data, unbalanced data, and unbalanced data with missing cells
Gams: L7d


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
BARR, A.J, GOODNIGHT, J.H., SALL, J.P, AND HELWIG, J.T. A user's guide to SAS 76. SAS Institute Inc., Raleigh, N.C., 1976.
 
2
GOLUB, G.H., AND NASH, S G Non-orthogonal analysis of variance using a generalized conjugate gradient algorithm. J. Am. Star. Assoc. 77 (1982), 109-116.
 
3
HARTLEY, H O. A plan for programming analysis of variance for general purpose computers. Biometrics 12 (1956), 110-122.
 
4
HEALY, M., AND WESTMACOTT, M. Missing values in experiments analysed on automatic computers. Appl. Star. 5 (1956), 203-206.
 
5
HEMMERLE, W.J., CARNEY, E.J., JOHNSON, A.F., MENSINn, R.W., AND SMITH, J. AARDVARK, a compiler-monitor system for analysts of variance. Reference Manual, Iowa State Statistical Laboratory, Ames, 1963.
 
6
HEMMERLE, W.J., AND PIETTE, D.F An iterative algorithm for nonorthogonal analysis of variance. In Proc. Computer Science and Statistics: 8th Annu. Syrup. on the Interface (Health Sciences Computing Facility, Univ. Calif. at Los Angeles), 1975, pp. 191-195.
 
7
HEMMERLE, W.J., AND CARNEY, E.J. An algorithm for multivariate analysis of covariance (implemented in AARDVARK). In Statistical Computation, R.C. Milton and J A. Nelder (Eds.). Academic, New York, 1969.
 
8
HEMMERLE, W.J. Recognizmg balance with unbalanced data. Commun. Star. A9 (1980), 201- 211.
 
9
HEMMERLE, W.J. Balanced hypotheses and unbalanced data. J. Am. Star. Assoc. 74 (1979), 794- 798.
 
10
HEMMERLE, W.J. Extensions and improvements of recent linear model algorithms. In Proc. ASA Statistwal Computing Sectmn (Washington, D.C.), American Statmtieal Association, 1976, pp. 73-82.
 
11
HEMMERLE, W.J. Iterative nonorthogonal analysis of covariance. J. Am. Star. Assoc. 71 (1976), 195-199.
 
12
HEMMERLE, W.J. Nonorthogonal analysm of variance using iterative improvement and balanced residuals. J. Am. Star. Assoc. 69 (1974), 772-778.
 
13
HEMMERLE, W.J. Statistwal Computations on a Digital Computer. Blaisdell, Waltham, Mass., 1967.
14
 
15
MCINTOSH, A.A. Fitting linear models by conjugate gradient. Tech. Rep., Dep. Statistics, Univ. Toronto, Toronto, Ont., Canada, 1980.
 
16
RUBIN, D.B. A non-iteratlve algorithm for least squares estimation of missing values in any analysis of variance design. Appl. Stat. 21 (1972), 136-141.
 
17
RYDER, B.G., AND HALL, A.D. The FORTRAN verifier: User's guide. Computing Sci. Tech. Rep. 12, Bell Telephone Laboratories, Murray Hill, N.J., 1973, ReD. 1975.
18
 
19
SEARLE, S.R. Linear Models. Wiley, New York, 1967.
20
 
21
SPEED, S.M., HOCKING, R.R., AND HACKNEY, O.P. Methods of analysis of linear models with unbalanced data. J Am. Stat. Assoc. 73 (1978), 105-112.
 
22
SPEED, F.M., AND HOCKING, R.R. The use of the R( ) notation with unbalanced data. The Amerwan Statistician 30 (1976), 30-33.
 
23
WILKINSON, G.N. A general recursive procedure for analysis of variance. Biometrika 57 (1970), 19-46.
 
24
YATES, F. The analysis of multiple classificatmns with unequal numbers in different classes. J. Am. Stat. Assoc 29 (1934), 52-66.

Collaborative Colleagues:
William J. Hemmerle: colleagues