agridat (version 1.16)

bridges.cucumber: Multi-environment trial of cucumbers in a latin square design

Description

Cucumber yields in latin square design at two locs.

Format

A data frame with 32 observations on the following 5 variables.

loc

location

gen

genotype/cultivar

row

row

col

column

yield

weight of marketable fruit per plot

Details

Conducted at Clemson University in 1985. four cucumber cultivars were grown in a latin square design at Clemson, SC, and Tifton, GA.

Separate variances are modeled each location.

Plot dimensions are not given.

Bridges (1989) used this data to illustrate fitting a heterogeneous mixed model.

Examples

# NOT RUN {
data(bridges.cucumber)
dat <- bridges.cucumber
dat <- transform(dat, rowf=factor(row), colf=factor(col))

if(require(desplot)){
  desplot(yield~col*row|loc, data=dat,
          # aspect unknown
          text=gen, cex=1,
          main="bridges.cucumber")
}

# ----------------------------------------------------------------------------

# }
# NOT RUN {
  # Graphical inference test for heterogenous variances
  require(nullabor)
  # Create a lineup of datasets
  fun <- null_permute("loc")
  dat20 <- lineup(fun, dat, n=20, pos=9)
  
  # Now plot
  library(lattice)
  bwplot(yield ~ loc|factor(.sample), dat20,
         main="bridges.cucumber - graphical inference")
# }
# NOT RUN {
# ----------------------------------------------------------------------------

# }
# NOT RUN {
  # asreml3
  require(asreml)
  ## Random row/col/resid. Same as Bridges 1989, p. 147
  m1 <- asreml(yield ~ 1 + gen + loc + loc:gen,
               random = ~ rowf:loc + colf:loc, data=dat)

  require(lucid)
  vc(m1)
  ##             effect component std.error z.ratio constr
  ##  rowf:loc!rowf.var     31.62     23.02     1.4    pos
  ##  colf:loc!colf.var     18.08     15.32     1.2    pos
  ##         R!variance     31.48     12.85     2.4    pos
  
  ## Random row/col/resid at each loc. Matches p. 147
  m2 <- asreml(yield ~ 1 + gen + loc + loc:gen,
               random = ~ at(loc):rowf + at(loc):colf, data=dat,
               rcov = ~at(loc):units)
  vc(m2)
  ##                          effect component std.error z.ratio constr
  ##  at(loc, Clemson):rowf!rowf.var     32.32    36.58     0.88    pos
  ##   at(loc, Tifton):rowf!rowf.var     30.92    28.63     1.1     pos
  ##  at(loc, Clemson):colf!colf.var     22.55    28.78     0.78    pos
  ##   at(loc, Tifton):colf!colf.var     13.62    14.59     0.93    pos
  ##            loc_Clemson!variance     46.85    27.05     1.7     pos
  ##             loc_Tifton!variance     16.11     9.299    1.7     pos
  
  predict(m2, data=dat, classify='loc:gen')$predictions$pvals
  ##     loc      gen Predicted Std Err    Status
  ## Clemson   Dasher     45.55   5.043 Estimable
  ## Clemson Guardian     31.62   5.043 Estimable
  ## Clemson Poinsett     21.42   5.043 Estimable
  ## Clemson   Sprint     25.95   5.043 Estimable
  ##  Tifton   Dasher     50.48   3.894 Estimable
  ##  Tifton Guardian     38.72   3.894 Estimable
  ##  Tifton Poinsett     33.01   3.894 Estimable
  ##  Tifton   Sprint     39.18   3.894 Estimable

  # Is a heterogeneous model justified? Maybe not.
  m1$loglik
  ## -67.35585
  m2$loglik
  ## -66.35621
  
# }
# NOT RUN {
# ----------------------------------------------------------------------------

# }
# NOT RUN {
  ## require(asreml4)
  ## ## Random row/col/resid. Same as Bridges 1989, p. 147
  ## m1 <- asreml(yield ~ 1 + gen + loc + loc:gen,
  ##              random = ~ rowf:loc + colf:loc, data=dat)

  ## require(lucid)
  ## vc(m1)
  ## ##   effect component std.error z.ratio bound <!-- %ch -->
  ## ## rowf:loc     31.62     23.02     1.4     P   0
  ## ## colf:loc     18.08     15.32     1.2     P   0
  ## ## units(R)     31.48     12.85     2.4     P   0
  
  ## ## Random row/col/resid at each loc. Matches p. 147
  ## m2 <- asreml(yield ~ 1 + gen + loc + loc:gen,
  ##              random = ~ at(loc):rowf + at(loc):colf, data=dat,
  ##              resid = ~ dsum( ~ units|loc))
  ## vc(m2)
  ## ##                effect component std.error z.ratio bound <!-- %ch -->
  ## ## at(loc, Clemson):rowf     32.32    36.58     0.88     P   0
  ## ##  at(loc, Tifton):rowf     30.92    28.63     1.1      P   0
  ## ## at(loc, Clemson):colf     22.55    28.78     0.78     P   0
  ## ##  at(loc, Tifton):colf     13.62    14.59     0.93     P   0
  ## ##        loc_Clemson(R)     46.85    27.05     1.7      P   0
  ## ##         loc_Tifton(R)     16.11     9.299    1.7      P   0
  
  ## predict(m2, data=dat, classify='loc:gen')$pvals
  ## ##       loc      gen predicted.value std.error    status
  ## ## 1 Clemson   Dasher            45.6      5.04 Estimable
  ## ## 2 Clemson Guardian            31.6      5.04 Estimable
  ## ## 3 Clemson Poinsett            21.4      5.04 Estimable
  ## ## 4 Clemson   Sprint            26        5.04 Estimable
  ## ## 5  Tifton   Dasher            50.5      3.89 Estimable
  ## ## 6  Tifton Guardian            38.7      3.89 Estimable
  ## ## 7  Tifton Poinsett            33        3.89 Estimable
  ## ## 8  Tifton   Sprint            39.2      3.89 Estimable

  ## # Is a heterogeneous model justified? Maybe not.
  ## m1$loglik
  ## ## -67.35585
  ## m2$loglik
  ## ## -66.35621

# }
# NOT RUN {
# }