Simulated Sample Behaviour of a Dissimilarity Index When Sampling from Populations Differing by a Location Parameter Only

ABSTRACT

In this paper the authors study empirically the power of the test based on the index of dissimilarity to compare two samples drawn from two populations differing only in the location parameter. We call such a test as test of homogeneity. In practice the power of such a bidirectional test will be studied referring to the absolute value of the shiftδand to the same probability models considered by Fried and Dehling.

In this paper the authors study empirically the power of the test based on the index of dissimilarity to compare two samples drawn from two populations differing only in the location parameter. We call such a test as test of homogeneity. In practice the power of such a bidirectional test will be studied referring to the absolute value of the shiftδand to the same probability models considered by Fried and Dehling.

Cite this paper

Manca, F. and Marin, C. (2014) Simulated Sample Behaviour of a Dissimilarity Index When Sampling from Populations Differing by a Location Parameter Only.*Applied Mathematics*, **5**, 2199-2208. doi: 10.4236/am.2014.515213.

Manca, F. and Marin, C. (2014) Simulated Sample Behaviour of a Dissimilarity Index When Sampling from Populations Differing by a Location Parameter Only.

References

[1] Fried, R. and Dehling, H. (2011) Robust Nonparametric Tests for the Two-Sample Location Problem. Statistical Methods & Applications, 20, 409-422.

http://dx.doi.org/10.1007/s10260-011-0164-1

[2] Gini, C. (1914-15) A Measure of Dissimilarity between Two Groups of Quantities and Its Application to the Study of Statistical Reports. Atti del R. Istituto Veneto di Scienze Lettere ed Arti, Tome 24.

[3] Gini, C. (1965) The Dissimilarity. Metron, 24, 85-215.

[4] Bertino, S. (1972) On the Mean and Variance of the Index of Dissimilarity in the Case of Samples from the Same Absolutely Continuous Random Variables. Metron, 30, 256-281.

[5] Herzel, A. (1965) The Mean Value and the Variance of the Index of Dissimilarity in the Universes of the Simple Bernoulli’s Samples. Library of Metron, Serie C, Notes and Reports, Tome II, Roma.

[6] Forcina, A. and Galmacci, G. (1974) On the Distribution of the Index of Dissimilarity. Metron, 32, 361-374.

[7] Girone, G. and Nannavecchia, A. (2013) The Distribution of an Index of Dissimilarity for Two Samples from a Uniform Population. Applied Mathematics, 4, 1028-1037.

http://dx.doi.org/10.4236/am.2013.47140

[8] Girone, G. and Nannavecchia, A. (in press) The Distribution of an Index of Dissimilarity for Two Samples from an Exponential Population. Applied Mathematics.

[1] Fried, R. and Dehling, H. (2011) Robust Nonparametric Tests for the Two-Sample Location Problem. Statistical Methods & Applications, 20, 409-422.

http://dx.doi.org/10.1007/s10260-011-0164-1

[2] Gini, C. (1914-15) A Measure of Dissimilarity between Two Groups of Quantities and Its Application to the Study of Statistical Reports. Atti del R. Istituto Veneto di Scienze Lettere ed Arti, Tome 24.

[3] Gini, C. (1965) The Dissimilarity. Metron, 24, 85-215.

[4] Bertino, S. (1972) On the Mean and Variance of the Index of Dissimilarity in the Case of Samples from the Same Absolutely Continuous Random Variables. Metron, 30, 256-281.

[5] Herzel, A. (1965) The Mean Value and the Variance of the Index of Dissimilarity in the Universes of the Simple Bernoulli’s Samples. Library of Metron, Serie C, Notes and Reports, Tome II, Roma.

[6] Forcina, A. and Galmacci, G. (1974) On the Distribution of the Index of Dissimilarity. Metron, 32, 361-374.

[7] Girone, G. and Nannavecchia, A. (2013) The Distribution of an Index of Dissimilarity for Two Samples from a Uniform Population. Applied Mathematics, 4, 1028-1037.

http://dx.doi.org/10.4236/am.2013.47140

[8] Girone, G. and Nannavecchia, A. (in press) The Distribution of an Index of Dissimilarity for Two Samples from an Exponential Population. Applied Mathematics.