By Petr Mandl

ISBN-10: 0387041427

ISBN-13: 9780387041421

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Extra resources for Analytical treatment of one-dimensional Markov processes

Sample text

In the social sciences, descriptive statistics are rarely reported to more than either two or three decimal values, partly because for most of our variables extremely small differences are not meaningful or noteworthy. ” The “289366567” part of the number is trivial. Reporting an excessive number of decimal values communicates more precision than is really present in most data. However, when our descrip- 42 FOUNDATIONS OF BEHAVIORAL STATISTICS tive statistics can be employed by others to replicate our analyses (as in a textbook), or to conduct analyses different than ours (because some secondary analyses do not require the original data), then more decimal values may be used in reporting.

Of course, we still could not quantify how much more savings there were in the more frugal group. Conversely, if the groups were not of equal size, and the sum of the savings of the bigger group was larger than the sum of the savings of the smaller group, we could not be certain that from the individual perspective the bigger group had more savings than the smaller group. If the two groups were exactly equal in size, we could compare the sums to make accurate judgments of wealth from both the group and the individual perspectives.

The variable X2 is ordinally-scaled. We have discarded information about the distances of datapoints from each other. , are in the same category), and we can still order the people. But with access only to the X2 data, we can no longer make determinations about how far apart these individuals are in their wealth. The variable X3 is nominally-scaled. Although the categories are still 20 FOUNDATIONS OF BEHAVIORAL STATISTICS ordered, we can no longer order the individual people. We have either collected relatively limited information, or have chosen to discard considerable information about wealth.