Griffing's (1956) maize diallel: cross means of nine inbred lines

The \(F_1\) means of the 36 crosses among nine inbred lines of maize (Griffing's Method 4) used in the numerical example of Griffing (1956), from data of Griffing and Lindstrom (1954): six randomized blocks with 13 plants per plot. The error mean squares of the experiment (Griffing 1956, Table 7) are, per plant: within plots 1642.48 (total yield), 46.61 (cob weight), 1247.39 (shelled corn) on 2558 degrees of freedom; varieties by blocks 11803.61, 235.82, 9056.45 on 175 degrees of freedom. Divided by the 78 plants of a cross mean they give the error of GriffingMeans for Model 1 and Model 2.

Usage

data(Griffing56)

Format

A data.frame with 36 rows and 5 columns:

Cross1, Cross2: the two parents of the cross (factors, levels 1 to 9; Cross1 < Cross2).
TotalYield: \(X_1\), total yield (the sum of the next two).
CobWeight: \(X_2\), cob weight.
ShelledCorn: \(X_3\), shelled corn weight.

Source

Griffing (1956), Table 6, page 482.

References

Griffing, B. (1956). Concept of general and specific combining ability in relation to diallel crossing systems. Australian Journal of Biological Sciences, 9(4), 463–493. doi:10.1071/BI9560463

Griffing, B. and Lindstrom, E. W. (1954). A study of the combining abilities of corn inbreds having varying proportions of corn belt and non-corn belt germ plasm. Agronomy Journal, 46, 545–552.

Author

Muhammad Yaseen (myaseen208@gmail.com)

Examples

data(Griffing56)
head(Griffing56)
#>   Cross1 Cross2 TotalYield CobWeight ShelledCorn
#> 1      1      2      240.0      31.8       208.2
#> 2      1      3      260.0      34.7       225.3
#> 3      1      4      230.4      32.3       198.1
#> 4      1      5      257.0      45.0       212.0
#> 5      1      6      241.5      39.0       202.5
#> 6      1      7      266.9      35.1       231.8