When a researcher is working with a large set of scale data, which measures are we most likely
to see her report?
When a researcher is working with a large set of scale data, which measures are we most likely
to see her report?
Solution
There are four scale of measures
1) Ordinal
2) Nominal
3) Interval
4) Ratio
These are all measures of Qualitative characteristics
We usually use frequency distribution and classify the data in different class
For the measure of central tendency median or mode is most frequently used and we do not use
median which is an average of the given values
The mode, median are allowed to measure central tendency of interval variables, while measures
of statistical dispersion include range and standard deviation. Since one can only divide by
differences, one cannot define measures that require some ratios, such as the coefficient of
variation. More subtly, while one can definemoments about the origin, only central moments are
meaningful, since the choice of origin is arbitrary. One can define standardized moments, since
ratios of differences are meaningful, but one cannot define the coefficient of variation, since the
mean is a moment about the origin, unlike the standard deviation, which is (the square root of) a
central moment..
When a researcher is working with a large set of scale data, whic.pdf
1. When a researcher is working with a large set of scale data, which measures are we most likely
to see her report?
When a researcher is working with a large set of scale data, which measures are we most likely
to see her report?
Solution
There are four scale of measures
1) Ordinal
2) Nominal
3) Interval
4) Ratio
These are all measures of Qualitative characteristics
We usually use frequency distribution and classify the data in different class
For the measure of central tendency median or mode is most frequently used and we do not use
median which is an average of the given values
The mode, median are allowed to measure central tendency of interval variables, while measures
of statistical dispersion include range and standard deviation. Since one can only divide by
differences, one cannot define measures that require some ratios, such as the coefficient of
variation. More subtly, while one can definemoments about the origin, only central moments are
meaningful, since the choice of origin is arbitrary. One can define standardized moments, since
ratios of differences are meaningful, but one cannot define the coefficient of variation, since the
mean is a moment about the origin, unlike the standard deviation, which is (the square root of) a
central moment.
