CochranHorganData {stratification}

Populations Analyzed in Gunning and Horgan (2004) and Cochran (1961)

Description

The first population Debtors is an accounting population of debtors in an Irish firm, detailed in Horgan (2003). The other populations are three of the skewed populations in Cochran (1961). These are:
UScities: the population in thousands of US cities in 1940;
UScolleges: the number of students in four-year US colleges in 1952-1953;
USbanks: the resources in millions of dollars of large commercial US banks.

Usage

Debtors
UScities
UScolleges
USbanks

Format

The formats of these data sets are, respectively:
num [1:3369] 40 40 40 40 40 40 40 40 40 40 ...
num [1:1038] 10 10 10 10 10 10 10 10 10 10 ...
num [1:677] 200 201 202 202 207 210 211 213 215 217 ...
num [1:357] 70 71 72 72 72 73 73 73 73 73 ...

Source

Jane M. Horgan

References

Cochran, W.G. (1961). Comparison of methods for determining stratum boundaries. Bulletin of the International Statistical Institute, 32(2), 345-358.

Gunning, P. and Horgan, J.M. (2004). A new algorithm for the construction of stratum boundaries in skewed populations. Survey Methodology, 30(2), 159-166.

Horgan, J.M. (2003). A list sequential sampling scheme with applications in financial auditing. IMA Journal of Management Mathematics, 14, 1-18.

Examples

### Reproduction of the results in Table 4 and Table 7 part 3 (case L=5) of  
### Gunning and Horgan (2004). The differences in the nh come from different  
### rounding. The more important differences observed for the cumulative  
### root frequency method are due to the use of different numbers of classes.
strata.geo(x=Debtors, n=100, Ls=5, alloc=c(0.5,0,0.5))
strata.cumrootf(x=Debtors, n=100, Ls=5, alloc=c(0.5,0,0.5), nclass=40)
strata.LH(x=Debtors, CV=0.0360, Ls=5, alloc=c(0.5,0,0.5), takeall=1, algo="Sethi")

strata.geo(x=UScities, n=100, Ls=5, alloc=c(0.5,0,0.5))
strata.cumrootf(x=UScities, n=100, Ls=5, alloc=c(0.5,0,0.5), nclass=40)
strata.LH(x=UScities, CV=0.0144, Ls=5, alloc=c(0.5,0,0.5), takeall=1, algo="Sethi")

strata.geo(x=UScolleges, n=100, Ls=5, alloc=c(0.5,0,0.5))
strata.cumrootf(x=UScolleges, n=100, Ls=5, alloc=c(0.5,0,0.5), nclass=40)
strata.LH(x=UScolleges, CV=0.0184, Ls=5, alloc=c(0.5,0,0.5), takeall=1, algo="Sethi")

strata.geo(x=USbanks, n=100, Ls=5, alloc=c(0.5,0,0.5))
strata.cumrootf(x=USbanks, n=100, Ls=5, alloc=c(0.5,0,0.5), nclass=40)
strata.LH(x=USbanks, CV=0.0110, Ls=5, alloc=c(0.5,0,0.5), takeall=1, algo="Sethi")