Levels of Measurement PDF

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EventfulMetaphor8155

Uploaded by EventfulMetaphor8155

Cairo University

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statistics levels of measurement data types nominal data

Summary

This document provides a comprehensive explanation of levels of measurement in statistics, covering nominal, ordinal, interval, and ratio data. It includes examples and tables to define each type of data and how the different levels relate. The document is well-suited for understanding basic statistical concepts.

Full Transcript

# Levels of Measurement - understand in simplest terms ## Data - **Qualitative:** "It was great fun" - **Quantitative:** - **Discrete:** 5 - **Continuous:** 3.265... ## Types of Data | | **Qualitative Data** | **Quantitative Data** | |:---|:---|:---| | **Nominal Data** | - Gender (Wo...

# Levels of Measurement - understand in simplest terms ## Data - **Qualitative:** "It was great fun" - **Quantitative:** - **Discrete:** 5 - **Continuous:** 3.265... ## Types of Data | | **Qualitative Data** | **Quantitative Data** | |:---|:---|:---| | **Nominal Data** | - Gender (Women, Men) - Hair color (Blonde, Brown) - Ethnicity (Hispanic, Asian) | - Letter grades: A, B, C | | **Ordinal Data** | - First, second, and third | - Economic status: low, medium | | **Discrete Data** | - The number of students in a class - The number of workers in a company - The number of home runs in a baseball game | | | **Continuous Data** | - The height of children | - The square footage of a two-bedroom house - The speed of cars | ## Levels of Measurement - **Nominal data:** Categories (no ordering or direction) - **Ordinal data:** Ordered Categories (rankings, order, or scaling) - **Interval data:** Differences between measurements but no true zero. - **Ratio data:** Differences between measurements, true zero exists. ## Relationship of Levels of Measurement - **Non-parametric** (qualitative data): Nominal, Ordinal - **Parametric** (quantitative data): Interval, Ratio *Nonparametric statistics may be used to analyze interval and ratio data measurements.* ## Levels of Measurement Table | Levels of Measurement | | |:---|:---| | **Nominal** | Named Variables | | **Ordinal** | Named + Ordered Variables | | **Interval** | Named + Ordered + Proportionate Interval between Variables | | **Ratio** | Named + Ordered + Proportionate Interval between Variables + Can accomodate Absolute Zero | ## Explanation of Levels of Measurement | Levels of Measurement | Description | |:---|:---| | **Nominal** | Categorizes, labels, classifies, names, or identifies types or kinds of things that can’t be quantified. | | **Ordinal** | Provides rank order of objects or individuals from first to last or best to worst. | | **Interval** | Includes rank ordering and this additional characteristic: equal intervals or distances between adjacent numbers. | | **Ratio** | Includes rank ordering, equal intervals, and this additional characteristic: an absolute zero point (which permits forming ratio statements). |

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