/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 In what situations are nonparame... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Problem 2

In what situations are nonparametric statistics useful?

Short Answer

Expert verified
Nonparametric statistics are useful in situations where: 1. Data are ordinal - they can be ranked, but exact differences between ranks are not known, for example, Likert-scale surveys. 2. Data have skewness or outliers issues, such as income data. 3. The sample size is very small, for instance, a study involving 10 participants.

Step by step solution

01

Identifying Nonparametric Statistical Scenario 1

Nonparametric statistics are especially useful when data are ordinal - they can be ranked, but the exact differences between ranks are unknown. An example could be a survey using Likert scale (strongly disagree to strongly agree). These ordinal scales are not suitable for parametric statistics, but can be analyzed using nonparametric statistics.
02

Identifying Nonparametric Statistical Scenario 2

Nonparametric statistical methods also come in handy when dealing with data that have skewness or outlier issues. These types of data can violate the assumptions of parametric tests, such as normality. For instance, income data often contain outliers and are right-skewed; much of population earns relatively little, while a small fraction earns significantly more. In this situation, nonparametric statistics could be used.
03

Identifying Nonparametric Statistical Scenario 3

When the sample size is very small, nonparametric statistical methods can provide useful insight when parametric methods are unsuitable due to large sample-size requirement. For example, if you collected data from a sample of 10 people, nonparametric statistics like the Wilcoxon signed-rank test could be applied.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Suppose a college career center was interested in the starting salaries of recent graduates in Communications Studies and Sociology. The center randomly samples 15 recent graduates from each of these fields and records the starting salary for the graduates. The center wants to determine whether there is a difference in the starting salaries for graduates in these majors. Which test(s) should be used in each of these situations? a. Assume the starting salary for both majors is approximately Normally distributed. b. Assume that one of the salary distributions is strongly right-skewed.

3.9 Geometric Mean a. Find the geometric mean for the numbers 10, 1000, and 10000 by using the following steps: i. Find the log of each number. ii. Average the 3 logs found in part a and report the value. iii. Find the antilog of the average by raising 10 to the power obtained in part ii. The result is the geometric mean. Round it to the one decimal place as needed. b. Find the mean and the median of the original 3 numbers. Then write the values for the geometric mean, the mean, and the median from smallest to largest.

The California Department of Education assesses progress of \(\mathrm{K}-12\) students in meeting grade level standards in English/Language Arts and Mathematics yearly. A regression analysis was performed using 2016 assessment data from a sample of 195 California schools. The data consisted of the percentage of students at each school who met or exceeded the grade-level standards in English/Language Arts (SELA) and Mathematics (SMATH). Assume all conditions for the linear regression model hold. a. Using the information in the regression analysis output, is there a linear association between these two variables? Explain. b. Interpret the slope of the regression equation. c. Using a \(95 \%\) confidence interval, what is the estimated mean percent of mathematics proficient students at schools in which \(50 \%\) of students are proficient in English/Language Arts?

What summary statistics are best used to report the "typical" value of a data set when the distribution is strongly skewed?

Suppose you want to determine whether there is difference in wait times at two Department of Motor Vehicles offices. A random sample of customer wait times is obtained for each office. Which test(s) can be used for each situation below? a. The populaton distribution of wait times is approximately Normal for both groups b. The population distribution of wait times for one of the offices is skewed left.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.