measure of location

The most common measure of location is the circular mean.

Common measures of location are the mean and median.

After further analysis the choice of measure of location should become clearer.

Numerical data summaries: measures of location and scale (about 3 lectures).

Either the standard deviation or the interquartile range could be used, depending on which measure of location was chosen.

Measures of location and dispersion for probability distributions.

Various measures of location and spread may be defined for both the population and a sample drawn from that population.

Measures of location give information about the location of the central tendency within a group of numbers.

Each measure of location has its own form of unbiasedness (see entry on biased estimator).

Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points).

For the Old Faithful dataset, I would say none of these are a good measure of location!

Besides this non-normality, the mean is also inefficient in the presence of outliers and less variable measures of location are available.

In statistics, the midhinge is the average of the first and third quartiles and is thus a measure of location.

Biostatistics: measures of location and dispersion, sampling, probability, statistical distribution, tests of significance, correlation and regression, analysis of variance.

Most commonly, the location parameter (or parameters) of interest are expected values, but location tests based on medians or other measures of location are also used.

For practical purposes, different measures of location and dispersion are often compared on the basis of how well the corresponding population values can be estimated from a sample of data.

Planning and Analysis - Questions Q 1A The question was "A number of basic measures of location and/or variation are commonly used in the analysis of numerical data.

L-estimators can also be used as statistics in their own right - for example, the median is a measure of location, and the IQR is a measure of dispersion.

Measures of location, averages, do just that; they give an indication of the position of the data; they provide a value round which a set of data is located or distributed.

Central tendency A measure of location of the middle or the centre of a distribution. Central tendency can refer to a wide variety of measures such as mean, median and mode.

Other than being a component of every statistic that uses all samples, the sample extrema are important parts of the range, a measure of dispersion, and mid-range, a measure of location.

The object of a stimulus-response model is to establish a mathematical function that describes the relation f between the stimulus x and the expected value (or other measure of location) of the response Y:

If the median of the distribution plotted on the horizontal axis is 0, the intercept of a regression line is a measure of location, and the slope is a measure of scale.

For example, the median is a resistant measure of location, while the mean is not; the mean can be drastically affected by making a single data value arbitrarily large, whereas the median can not.

Measures of location: the obvious, mean and median, the latter preferred for skewed data and/or the presence of outliers; Measures of spread: again, standard deviation/variance and inter-quartile range (IQR).