PD {PolycrossDesigns}

Polycross Designs

Description

This package contains function for generating polycross designs using nine methods available in literature.

type1: v(>2) such that (v+1) is a prime number;

type1 is a series of polycross designs generated using the method given by Olesen and Olesen (1973).

type2: v (>2) is taken such that (v+1) is a prime number;

type2 is a series of completely balanced polycross designs generated using the method given by Olesen (1976).

type3: v(>2) is any integer;

type3 is a series of polycross designs with complete neighbour balance generated using the method given by Morgan (1988).

type4: v=5,7,9 or 11.

type4 is a series of balanced polycross designs given by Morgan(1988).

type5: v (>2) is taken in such a way that (v+1) is a prime number;

type5 is a series of Neighbour-balanced polycross designs for v genotypes (where v+1 is prime) for polycross trials as given in Varghese et al. (2015).

type6: v (>4) is any odd number;

type6 is a series of Neighbour-balanced polycross designs for v genotypes (where v is an odd number) for polycross trials as given in Varghese et al. (2015).

type7: v(>2)= 2*m, where, m is an odd positive integer;

type7 is a series of Neighbour-restricted block designs for polycross trials as given in Varghese et al. (2015).

type8: v = 4*m, where m is any positive integer;

type8 is a series of Neighbour-restricted row–column designs for polycross trials as given in Varghese et al. (2015).

type9: v is a prime number but (v-1) should be a multiple of 3;

type9 is a series of Polycross designs for directional wind system for polycross trials as given in Varghese et al. (2015).

Usage

PD(v, type)

Arguments

v

v is number of genotypes

type

type used for generating designs

Value

This function generates polycross designs using various methods for a given number of genotypes (v).

Author(s)

1) Cini Varghese, Division of Design of Experiments, ICAR-IASRI, New Delhi.

2) Seema Jaggi, Agricultural Education Division, ICAR, Krishi Anusandhan Bhawan - II, Pusa, New Delhi.

3) Eldho Varghese, Fishery Resources Assessment & Economics Division, ICAR-CMFRI, Kochi.

4) Ashutosh Dalal, Division of Design of Experiments, ICAR-IASRI, New Delhi.

5) Arpan Bhowmik, Division of Design of Experiments, ICAR-IASRI, New Delhi.

References

1) Morgan (1988a)<doi: 10.1007/BF00025112>."Polycross Designs with Complete Neighbour Balance".

2) Morgan (1988b)<doi:10.1111/j.2517-6161.1988.tb01714.x>."Balanced Polycross Designs".

3) Olesen and Olesen (1973)<https://doi.org/10.1007/BF00036647>. "A Polycross Pattern Formula".

4) Olesen (1976)<https://doi.org/10.1007/BF00041582>."A Completely Balanced Polycross Design".

5) Varghese et al. (2015)<doi:10.1080/02664763.2015.1043860>. " Experimental Designs for Open Pollination in Polycross Trials".

Examples

library(PolycrossDesigns)
PD(6,"type7")