Thursday, April 8, 2010

Types of Data

There are four types of data that may be gathered in research, each one adding more to the next. Thus ordinal data is also nominal, and so on.

Ratio
Interval
Ordinal
Nominal

Nominal
The name 'Nominal' comes from the Latin nomen, meaning 'name' and nominal data are items which are differentiated by a simple naming system. The only thing a nominal scale does is
to say that items being measured have something in common, although this may not be described. Nominal items may have numbers assigned to them. This may appear ordinal but is not -- these are used to simplify capture and referencing. Nominal items are usually categorical,
in that they belong to a definable category, such as 'employees'.
Example
The number pinned on a Sachin Tendulkar's shirt.
A set of countries.

Ordinal
Items on an ordinal scale are set into some kind of order by their position on the scale. This may indicate such as temporal position, superiority, etc. The order of items is often defined by
assigning numbers to them to show their relative position. Letters or other sequential symbols may also be used as appropriate. Ordinal items are usually categorical, in that they belong to a definable category, such as 'Help Bangalore marathon runners'. You cannot do arithmetic with ordinal numbers -- they show sequence only.
Example
The first, third and fifth person in a race.
Pay bands in an organization, as denoted by A, B, C and D.

Interval
Interval data (also sometimes called integer) is measured along a scale in which each position is equidistant from one another. This allows for the distance between two pairs to be equivalent in some way. This is often used in psychological experiments that measure attributes along an arbitrary scale between two extremes. This is the most confusing of all....like the Samn perelli fatigue scale or the NASA TLX or the famous Glasgow Coma Score. Interval data cannot be multiplied or divided. Try taking the average GCS of 10 patients in the ICU ..!!!
Example
My level of happiness, rated from 1 to 10.
Temperature, in degrees
Fahrenheit.

Ratio
In a ratio scale, numbers can be compared as multiples of one another. Thus one person can be twice as tall as another person. Important also, the number zero has meaning. Thus the difference between a person of 35 and a person 38 is the same as the difference between people who are 12 and 15. A person can also have an age of zero. Ratio data can be multiplied and divided because not only is the difference between 1 and 2 the same as between 3 and 4, but also that 4 is twice as much as 2. Interval and ratio data measure quantities and hence are quantitative. Because they can be measured on a scale, they are also called scale data.
Example
A person's weight
The number of pizzas I can eat before fainting

Parametric vs. Non-parametric
Interval and ratio data are parametric, and are used with parametric tools in which distributions are predictable (and often Normal). Nominal and ordinal data are non-parametric, and do not assume any particular distribution. They are used with non-parametric tools such as the
Histogram.

Continuous and Discrete
Continuous measures are measured along a continuous scale which can be divided into fractions, such as temperature. Continuous variables allow for infinitely fine sub-division, which
means if you can measure sufficiently accurately, you can compare two items and determine the difference. Discrete variables are measured across a set of fixed values, such as age in years (not microseconds). These are commonly used on arbitrary scales, such as scoring your level of happiness, although such scales can also be continuous.

The starting point of a study is the data ..and knowing the data you are dealing with helps decide the way it is to be collected or treated. whether your own study or going through someone elses study for a journal club, the first thing to do is to look at the data when talking of statistics.

1 comment:

Unknown said...

seems like me a little less confused now!!can it be rated on the ordinal scale