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List the levels of measurement for each of your chosen variables

and explain why understanding levels of measurement is important in
quantitative research.

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Final answer:

Quantitative research requires understanding of levels of measurement: nominal, ordinal, interval, and ratio, to apply correct statistical methods and ensure precise analysis.

Step-by-step explanation:

Understanding the different levels of measurement is crucial in quantitative research because it influences which statistical procedures can be used with the data. The four main levels of measurement are:

  • Nominal scale level: This is the most basic level of measurement, which categorizes data without a specific order. Examples include colors, names, and yes or no responses.
  • Ordinal scale level: This level allows for data to be ordered but does not include a measurable difference between data points. An example would be classifying high school soccer players as superior, average, or above average.
  • Interval scale level: At this level, data can be ordered and the differences between data points can be quantified, but there is no true zero point. An example is temperature measured in degrees Celsius or Fahrenheit.
  • Ratio scale level: This is the highest level of measurement, including a natural zero point, which allows for comparisons of absolute magnitudes. Baking temperatures for various dishes would be an example of ratio level data.

Here are examples of how to determine the level of measurement:

  1. Athletic ability (superior, average, above average) is measured on the ordinal scale level.
  2. Baking temperatures (350, 400, 325, 250, 300) are measured on the ratio scale level.
  3. Crayon colors in a box are measured on the nominal scale level.

Data measurement and rounding are important to provide precise and accurate analyses. By selecting the correct level of measurement, researchers can ensure they are using appropriate statistical methods and rounding approaches for their specific data sets.

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