Latin square experiment on mangolds — fisher.latin • agridat

Latin square experiment on mangolds. Used by R. A. Fisher.

Usage

data("fisher.latin")

Format

A data frame with 25 observations on the following 4 variables.

trt: treatment factor, 5 levels
yield: yield
row: row
col: column

Details

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.

Source

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.

Examples


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