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Abstract

Now that we have laid the theoretical foundations of probability calculus in the past chapters, let us recall what all the effort was about. The main purpose of inductive statistics is to develop methods for making generalizations about a population from sample data. This chapter will present these methods, known as statistical estimation of parameters. Statistical estimation is a procedure for estimating the value of an unknown population parameter—for example, average age. There are two types of estimation procedures: point estimation and interval estimation.

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Notes

  1. 1.

    In Excel 2010 this can be reached by clicking File → Options → Add-ins → Go.

  2. 2.

    The possible scores for the mean value are: (1;1)→1; (1;2)→1.5; (1;3)→2; (1;4)→2.5; (1;5)→3; (1;6)→3.5; (2;1)→1.5; (2;2)→2; (2;3)→2.5; (2;4)→3; (2;5)→3.5; (2;6)→4; (3;1)→2; (3;2)→2.5; (3;3)→3; (3;4)→3.5; (3;5)→4; (3;6)→4.5; (4;1)→2.5; (4;2)→3; (4;3)→3.5; (4;4)→4; (4;5)→4.5; (4;6)→5; (5;1)→3; (5;2)→3.5; (5;3)→4; (5;4)→4.5; (5;5)→5;(5;6)→5.5; (6;1)→3.5; (6;2)→4; (6;3)→4.5; (6;4)→5; (6;5)→5.5; (6;6)→6.

  3. 3.

    In statistics, estimated parameters are indicated by adding a circumflex over them.

References

  • Fowler, F.J. (2002). Survey Research Methods, 3rd Edition. London: Sage.

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  • Lewin, C. (2005). Elementary Quantitative Methods. In: Somekh, B. and Lewin, C. (Eds.), Research Methods in the Social Sciences (pp. 215–225). London: Sage.

    Google Scholar 

  • Oppenheim, A.N. (1992). Questionnaire Design, Interviewing and Attitude Measurement, Continuum. London: Wiley.

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Cleff, T. (2019). Parameter Estimation. In: Applied Statistics and Multivariate Data Analysis for Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-17767-6_8

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