Abstract
In a previous paper responses of 66 nylon yarn to environmental changes were ana lyzed experimentally and an equation of state was developed from theoretical considera tions. The equation of state is herein analyzed as to its adequacy as a prediction equation for those environmental changes by the techniques of statistical regression analysis, and the regression coefficients are obtained. The regression technique is sketched in matrix form, and the various statistical tests and their implications are discussed. The equation of state is highly satisfactory as a prediction equation.
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References
1.
Ames, W.F.
and
Behn, V.C.
, Trans. Soc. Rheology
5 , 53 (1961 ).
2.
Barkas, W.W.
, "Swelling Stresses in Gels,"
London , H. M. Stationery Office , 1945 .
3.
Bennett, C.A.
and
Franklin, N.L.
, "Statistical Analysis in Chemistry and the Chemical Industry,"
New York , Wiley , 1954 .
4.
Eckstein, B.H.
,
Olson, E.H.
, and
Ames, W.F.
, Textile Research J.
28 , 701 (1958 ).
5.
Freund, J.E.
,
Livermore, P.E.
, and
Miller, I.
, "Manual of Experimental Statistics,"
Englewood Cliffis, New Jersey , Prentice Hall , 1960 .
6.
Graybill, F.A.
, "An Introduction to Linear Statistical Models,"
New York , McGraw-Hill , 1961 .
7.
Hald, A.
, "Statistical Theory with Engineering Application,"
New York , Wiley , 1952 .
8.
Owens, O.L.
, Editor, "The Design and Analysis of Industrial Experiments,"
New York , Hafner , 1956 .
9.
Smith, T.L.
, J. Polymer Sci.
20 , 89 (1956 ).
10.
Treloar, L.R.G.
, Trans. Faraday Soc . 48 , 567 (1952 ).
11.
Vinti, J.P.
and
Dressler, R.F.
, J. Research Nat. Bur. Standards, Eng. and Inst.
64C , 115 (1960 ).