Skip to main content
Ch. 12 - Analysis of Variance
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446당신이 사용하는 게 아니라요?교과서 변경
12장, 문제 12.CRE.1e

In Exercises 1–5, refer to the following list of numbers of years that deceased U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. (As of this writing, the last president is George H. W. Bush, the last pope is John Paul II, and the last British monarch is George VI.) Assume that the data are samples from larger populations.


[Image]


Exploring the Data Include appropriate units in all answers.


e. What is the level of measurement of the data (nominal, ordinal, interval, ratio)?

검증된 단계별 안내
1
Step 1: Understand the levels of measurement. There are four levels of measurement in statistics: nominal, ordinal, interval, and ratio. Each level provides different types of information about the data.
Step 2: Analyze the data provided. The data represents the number of years that deceased U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation. These are numerical values.
Step 3: Determine if the data has a true zero point. Since the data represents the number of years lived after a specific event, it has a meaningful zero point (e.g., 0 years lived after the event). This indicates that the data is at least at the ratio level.
Step 4: Check if the data allows for meaningful ratios. For example, if one individual lived 20 years after their inauguration and another lived 10 years, the ratio (20/10 = 2) is meaningful. This confirms that the data is at the ratio level.
Step 5: Conclude that the level of measurement for this data is 'ratio,' as it is numerical, has a true zero point, and allows for meaningful ratios.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Levels of Measurement

Levels of measurement refer to the different ways data can be categorized and analyzed. There are four primary levels: nominal, ordinal, interval, and ratio. Nominal data are categories without a specific order, ordinal data have a defined order but no consistent difference between values, interval data have meaningful differences but no true zero point, and ratio data have both meaningful differences and a true zero, allowing for the comparison of absolute magnitudes.
추천 영상:
가이드 코스
10:28
Difference in Proportions: Hypothesis Tests Example 1

Nominal Data

Nominal data is the simplest level of measurement, consisting of categories that cannot be ordered or ranked. Examples include gender, race, or types of fruit. In the context of the question, nominal data would not apply since the years lived can be ordered and compared, indicating a higher level of measurement.
추천 영상:
가이드 코스
04:39
Visualizing Qualitative vs. Quantitative Data

Ratio Data

Ratio data is a quantitative measurement that has all the properties of interval data, with the addition of a true zero point. This means that not only can you measure differences between values, but you can also make meaningful statements about how many times greater one value is compared to another. In the context of the years lived by presidents, popes, and monarchs, this data is ratio because it allows for comparisons and has a true zero (e.g., living 0 years after inauguration).
추천 영상:
가이드 코스
04:39
Visualizing Qualitative vs. Quantitative Data