Proceedings Volume 2010 (format .pdf) - SimpBTH

2. The degrees of freedom (GL)- Degrees of freedom of factor A:GLA= m − 1. (4)- Total degrees of freedom:GLT= mn − 1. (5)- Degrees of freedom of error (residual)GL = GL − GL = m n − 1 . (6)23. The variances ( S )- Variance of factor A:R T AS2 AAA( )SPA= . (7)GL- Residual variance:SSPA= . (8)GL2 RRRThe influence factor A is highlighted by applying Fisher test to2Svariable FAexp A= 2 . If this value is equal to or greater than tabulated value, weSRconclude that the samples have been drawn from populations with different means;or, in other words, that there are significant differences between the treatmentmeans.To establish the connection strength between factor A and character X, thecorrelation index is calculated by formula:SPAIAC ( A) = (9)SPA130TIf this index is close to value 1, then the correlation between factor A and characterX is very significant.When the preliminary analysis of variance has indicated that there aresignificant differences between the treatment means, we apply multiple range testusing S.S.RFirst, we compute the standard error of a treatment mean2S . mThen, we look up values of Q (in the table of “Studentized range”) for the numbero degrees of freedom or error and for n, n − 1,...2 treatments. We compute S.S.R.⎛ 2for groups of n, n − 1,...2 asQS ⎞⎜ m ⎟⎝ ⎠ .