fisher.latin.Rd
Latin square experiment on mangolds. Used by R. A. Fisher.
data("fisher.latin")
A data frame with 25 observations on the following 4 variables.
trt
treatment factor, 5 levels
yield
yield
row
row
col
column
Yields are root weights. Data originally collected by Mercer and Hall as part of a uniformity trial.
This data is the same as the data from columns 1-5, rows 16-20, of the mercer.mangold.uniformity data in this package.
Unsurprisingly, there are no significant treatment differences.
Mercer, WB and Hall, AD, 1911. The experimental error of field trials The Journal of Agricultural Science, 4, 107-132. Table 1. http::/doi.org/10.1017/S002185960000160X
R. A. Fisher. Statistical Methods for Research Workers.
library(agridat) data(fisher.latin) dat <- fisher.latin # Standard latin-square analysis m1 <- lm(yield ~ trt + factor(row) + factor(col), data=dat) anova(m1)#> Analysis of Variance Table #> #> Response: yield #> Df Sum Sq Mean Sq F value Pr(>F) #> trt 4 330.2 82.56 0.5647 0.692978 #> factor(row) 4 4240.2 1060.06 7.2511 0.003294 ** #> factor(col) 4 701.8 175.46 1.2002 0.360412 #> Residuals 12 1754.3 146.19 #> --- #> Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1