Impact of Fuzziness in Measurement Scale on Basic Statistical Inference

20 Pages Posted: 9 Oct 2013

See all articles by Shubhabratha Das

Shubhabratha Das

Indian Institute of Management (IIMB), Bangalore

Date Written: October 8, 2013

Abstract

When a product, performance or service is rated or a behavioural response is sought, the alternatives typically do not have well-defined and universally understood demarcations. In this research, we address validity or inaccuracies in basic statistical inference based on such fuzzy data. In particular, we focus on inference on population mean and variance of single population as well as two population one-sample and also address the proportion problem in the paired test framework. In the testing of hypothesis framework, both the size and power of the tests are looked at. The results are mixed, as we observe that fuzziness of data impacts the inference substantially in some problems, while it has virtually no impact in some other problem domain.

Keywords: fuzzy, mean, one/two sample problem, power, proportion, scale, size, testing of hypothesis

Suggested Citation

Das, Shubhabratha, Impact of Fuzziness in Measurement Scale on Basic Statistical Inference (October 8, 2013). IIM Bangalore Research Paper No. 423, Available at SSRN: https://ssrn.com/abstract=2337430 or http://dx.doi.org/10.2139/ssrn.2337430

Shubhabratha Das (Contact Author)

Indian Institute of Management (IIMB), Bangalore ( email )

Bannerghatta Road
Bangalore, Karnataka 560076
India

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