Which level of measurement is least used in educational psychology?
Nominal scale
Measurement is a fundamental part of research and practice in educational psychology. It helps us quantify different aspects of learning, behavior, and psychological traits. There are different levels at which we can measure things, and these levels determine what kind of analysis we can perform on the data.
The four main levels of measurement, often discussed in statistics and research methods, are Nominal, Ordinal, Interval, and Ratio. Each level has specific properties:
When we consider the core quantitative measurements and analyses performed in educational psychology, we are often interested in understanding differences, relationships, and magnitudes of psychological constructs and academic performance. While all measurement levels have their place, some are used less frequently for quantitative analysis compared to others.
Let's consider the typical measures used:
Nominal data, while useful for classification, provides only categorical information. You can count frequencies and percentages, but you cannot calculate means, standard deviations, or perform inferential statistics like t-tests or ANOVA that require interval or ratio data. While researchers in educational psychology use nominal data for classifying participants or variables, the central focus of quantitative analysis aimed at measuring the degree or amount of psychological attributes or educational outcomes relies more heavily on Ordinal, Interval, and sometimes Ratio scales.
Ratio scales, with their true zero point, are also less common for many psychological constructs where a true zero is difficult to define (e.g., zero intelligence, zero personality). However, some measures like response time or number of items completed could be Ratio. Equal interval scale (Interval) and Ordinal scales are very common in educational psychology research.
Given the types of quantitative analyses prevalent in the field, which often involve measuring differences, relationships, and effects using data that allows for ranking or equal intervals, the Nominal scale is arguably the level that provides the least quantitative information for these core analytical purposes, making it potentially the least used for *quantitative measurement* of core constructs compared to the other scales.
Here is a brief comparison of the properties of the measurement scales used in educational psychology:
| Scale | Properties | Mathematical Operations | Typical Use in Educational Psychology |
|---|---|---|---|
| Nominal | Classification, Labeling | Counting, Mode | Categorizing groups (gender, major) |
| Ordinal | Classification, Order/Ranking | Counting, Mode, Median, Percentiles | Ranking performance, rating scales (satisfaction, agreement) |
| Interval (Equal Interval) | Classification, Order/Ranking, Equal Intervals | Counting, Mode, Median, Mean, Standard Deviation, Addition, Subtraction | IQ scores, standardized test scores, temperature (less common) |
| Ratio | Classification, Order/Ranking, Equal Intervals, True Zero | All interval operations + Multiplication, Division | Number of correct answers, reaction time, age (for participants) |
Considering the depth of quantitative analysis often required to understand complex educational and psychological phenomena, the nominal scale offers the fewest analytical options compared to the ordinal, interval, and ratio scales. While used for categorical variables, it is less central to the quantitative measurement of degree or magnitude that characterizes much of the research in educational psychology.
While wandering in jungle, King Dushyant married Shankuntala as narrated in the "Abhigyan Shankuntalam". He gave her royal ring which could serve her identity when she would come to meet him, in future. However, she had lost the ring while going to meet him. When she arrived at Dushyant's palace, he failed to recognise her as she did not had the ring.
Which of the following statistical error King Dushyant had committed in this narrative?
Type II error in hypothesis testing is:
In List I types of variables are given and in List II correlation coefficients related to them are given. Match List I and List II and choose the correct answer from the code given below.
List I (Types of variable) | List II (Correlation coefficient) | ||
| a) | Both variables continuous | i) | Biserial |
| b) | Both with ordinal measure | ii) | Pearson's 'r' |
| c) | Both with artificial dichotomy | iii) | Contingency coefficient |
| d) | One continuous and other with artificial dichotomy | iv) | Spearman's rho |
| e) | Two or more categories | v) | Tetrachoric 'r' |
| vi) | Point-Biserial | ||
Match the measurement scales in Set I with the examples in Set II.
Set I
(a) Nominal scale
(b) Ordinal scale
(c) Interval scale
(d) Ratio scale
Set II
(i) Ranking students’ performances in musical events
(ii) Spelling-test scaled scores defined with equal units and an arbitrary zero
(iii) Classifying students by the type of co-curricular activity they participate in
(iv) Students’ writing speed in words per minute
For scores drawn from a continuous reference distribution, what is the shape of the distribution of their percentile ranks?