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Introduction to Analysis-of-Variance Procedures |

Analysis of variance was pioneered by R.A. Fisher (1925). For a general
introduction to analysis of variance, see an intermediate statistical
methods textbook such as Steel and Torrie (1980), Snedecor and Cochran
(1980), Milliken and Johnson (1984),
Mendenhall (1968), John (1971), Ott (1977), or Kirk (1968). A
classic source is Scheffe (1959). Freund, Littell, and Spector (1991)
bring together a treatment of these statistical methods and SAS/STAT
software procedures. Schlotzhauer and Littell (1997) cover how to
perform *t* tests and one-way analysis of variance with SAS/STAT
procedures. Texts on linear models include Searle (1971), Graybill
(1976), and Hocking (1984). Kennedy and Gentle (1980) survey the
computing aspects.

Conover, W.J. and Iman, R.L. (1981), "Rank Transformations as a Bridge
Between Parametric and Nonparametric Statistics," *The American
Statistician*, 35, 124 -129.

Fisher, R.A. (1925), *Statistical Methods for Research Workers*,
Edinburgh: Oliver & Boyd.

Freund, R.J., Littell, R.C., and Spector, P.C. (1991),
*SAS System for Linear Models*,
Cary, NC: SAS Institute Inc.

Graybill, F.A. (1976), *Theory and Applications of the Linear
Model*, North Scituate, MA: Duxbury Press.

Hocking, R.R. (1984), *Analysis of Linear Models*,
Monterey, CA: Brooks-Cole Publishing Co.

John, P. (1971), *Statistical Design and Analysis of Experiments*,
New York: Macmillan Publishing Co.

Kennedy, W.J., Jr. and Gentle, J.E. (1980), *Statistical
Computing*, New York: Marcel Dekker, Inc.

Kirk, R.E. (1968), *Experimental Design: Procedures for the
Behavioral Sciences*, Monterey, CA: Brooks-Cole Publishing Co.

Mendenhall, W. (1968), *Introduction to Linear Models and the Design
and Analysis of Experiments*, Belmont, CA: Duxbury Press.

Milliken, G.A. and Johnson, D.E. (1984), *Analysis of Messy
Data Volume I: Designed Experiments*, Belmont, CA: Lifetime
Learning Publications.

Ott, L. (1977), *Introduction to Statistical Methods and Data
Analysis*, Second Edition, Belmont, CA: Duxbury Press.

Scheffe, H. (1959), *The Analysis of Variance*, New York: John
Wiley & Sons, Inc.

Schlotzhauer, S.D. and Littell, R.C. (1997),
*SAS System for Elementary Statistical Analysis*,
Cary, NC: SAS Institute Inc.

Searle, S.R. (1971), *Linear Models*, New York: John Wiley &
Sons, Inc.

Snedecor, G.W. and Cochran, W.G. (1980), *Statistical Methods*,
Seventh Edition, Ames, IA: Iowa State University Press.

Steel R.G.D. and Torrie, J.H. (1980), *Principles and Procedures of
Statistics*, Second Edition, New York: McGraw-Hill Book Co.

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