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Roper Through their Roper Reports Worldwide, GfK Roper conducts a global consumer survey to help multinational companies understand different consumer attitudes throughout the world. Within 30 countries, the researchers interview 1000 people aged 13-65. Their samples are designed so that they get 500 males and 500 females in each country. (www.gfkamerica.com) a. Are they using a simple random sample? Explain. b. What kind of design do you think they are using?

Short Answer

Expert verified
a. No, they are not using a simple random sample because they have stratified their sample to contain equal numbers of males and females. b. They appear to be using a stratified random sampling design.

Step by step solution

01

Understanding Simple Random Sample

To answer the question, it's important to understand what a simple random sample is. A simple random sample is a group of individuals chosen from a larger set, where each individual is chosen randomly and entirely by chance. In this case, GfK Roper gathers data from 500 males and 500 females in each of 30 countries. Therefore, whether it's a simple random sample depends on whether every individual aged 13-65 in these countries had an equal likelihood of being chosen.
02

Evaluating the Sampling Method

Based on the details provided, the sampling method used by GfK Roper doesn't seem to be a simple random sample. This is because they've specifically divided their sample to contain an equal number of males and females, meaning it is not entirely selected by chance. Instead, the sample seems to be stratified, as the population is divided into subgroups (males and females), and random samples are taken within these strata.
03

Identifying the Research Design

The research design they are using appears to be a stratified random sampling design. Stratified random sampling involves dividing the population into subgroups (or 'strata') and then taking a random sample from each of these groups. This is identifiable by the fact that they separate the population by gender (into two strata) and then take equal numbers of males and females (1000 people: 500 males and 500 females).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Sampling Method
When gathering data for a research study, selecting the right sampling method is vital to ensure that the data is representative and unbiased. In this case, the GfK Roper global consumer survey is not using a simple random sampling method. Instead, they are employing a stratified random sampling method. Stratified sampling involves dividing the population into distinct subgroups or strata, such as age, gender, or any other characteristic that is relevant to the research. Once these subgroups are established, researchers then draw samples from each subgroup. Using this method ensures that each subgroup is adequately represented in the sample, which can lead to more accurate and reliable results. For example, in the GfK Roper survey:
  • The researchers identified two main subgroups: males and females.
  • They ensured that both groups were equally represented by selecting 500 males and 500 females in each country.
This approach reduces selection bias and enhances the quality of the data collected.
Research Design
The research design chosen for a study affects the integrity and credibility of its results. In this exercise, the design utilized by GfK Roper is an example of stratified random sampling, a robust and practical research design. To understand why this design was chosen, consider the goals of GfK Roper's survey. The design aims to accurately capture consumer attitudes across diverse demographics within each country. Here, stratified sampling is ideal, as it:
  • Allows researchers to ensure representation of important subgroups, such as gender.
  • Enables more detailed analysis by allowing comparisons between these subgroups.
  • Reduces variability within each subgroup, increasing precision in the findings.
The decision to separate their sample into 500 males and 500 females across different countries effectively ensures gender representation, a critical component in many consumer research studies. This type of design aligns with their research goals and enhances the validity of their results.
Simple Random Sample
A simple random sample (SRS) is one of the most basic forms of sampling methods used in research. In a simple random sample, every individual has an equal chance of being selected, with no consideration for subgroup characteristics such as gender or age. Simple random sampling works best when the population is relatively uniform or when subgroup characteristics are not deemed crucial for the research. However, this was not suitable for the GfK Roper survey, as they required equal representation of genders. In cases like this, stratified sampling is more appropriate. Nevertheless, understanding SRS is essential because it serves as a foundational concept in statistics and research design. It helps ensure randomness and nondiscrimination in the selection process, thereby reducing the risk of bias. Examples of SRS include:
  • Drawing names from a hat.
  • Using a random number generator to pick participants.
Each example shows how selections are made entirely by chance, unlike the stratified sampling method used in the GfK Roper study.

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Most popular questions from this chapter

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