/*! 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 35 Discuss how a randomized block d... [FREE SOLUTION] | 91Ó°ÊÓ

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Discuss how a randomized block design is similar to a stratified random sample. What is the purpose of blocking?

Short Answer

Expert verified
Both methods control variability by grouping based on characteristics. Blocking reduces variability in treatment effects.

Step by step solution

01

Identify Key Concepts

To discuss the similarities, first understand the key concepts: a randomized block design and a stratified random sample.
02

Define Randomized Block Design

A randomized block design involves grouping experimental units into blocks based on a certain characteristic, then randomly assigning treatments within each block. This design aims to reduce variability within treatment comparisons.
03

Define Stratified Random Sample

A stratified random sample divides a population into strata (distinct subgroups) based on one or more characteristics, then randomly selects a sample from each stratum. This improves the precision and representativeness of the sample.
04

Compare Similarities

Both methods involve dividing subjects into groups based on certain characteristics to control for variability. In randomized block design, the division into blocks aims at more precise treatment comparison, while in stratified sampling, it aims at more representative sampling.
05

Discuss Purpose of Blocking

The purpose of blocking in a randomized block design is to control for potential confounding variables by reducing within-group variability. This enhances the accuracy and reliability of treatment effect estimates.

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Key Concepts

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

Stratified Random Sampling Explained
Stratified random sampling is a technique in which a population is divided into distinct subgroups or strata. Each stratum shares a specific characteristic, such as age, income level, or educational background. To perform stratified random sampling, follow these steps:
  • Divide the population into appropriate strata based on relevant characteristics.
  • Randomly select a sample from each stratum.
  • Ensure that the sample size from each stratum is proportional to its overall size in the population.
This technique is especially useful when researchers want to ensure that every subgroup is adequately represented in the sample. It improves precision and representativeness, leading to more reliable and valid results.
By considering multiple strata, researchers can control for potential confounding variables and gain deeper insights into the characteristics or behaviors of specific subgroups within the population.
Understanding Experimental Design
Experimental design refers to the planning of an experiment to ensure that the data collected can address the research questions reliably and accurately. Key elements of experimental design include:
  • Treatment and control groups: These groups are created to compare the effect of different treatments.
  • Randomization: Assigning subjects to different groups randomly to minimize bias and ensure comparability.
  • Replication: Repeating the experiment multiple times to ensure consistency and reliability of the results.
One important type of experimental design is the **randomized block design**. In this design, subjects are grouped into blocks based on a specific characteristic. Treatments are then randomly assigned within each block. The key advantages are:
  • Reduction of within-group variability, leading to more precise comparisons.
  • Control over confounding variables that might affect the treatment outcome.
This design is particularly useful in agricultural studies, clinical trials, and any field where variability within groups can significantly impact the results.
The Concept of Blocking
Blocking is an essential technique in experimental design that enhances the accuracy and reliability of results by controlling for potential confounding variables. It involves grouping experimental units into blocks based on a characteristic that is believed to affect the outcome of the experiment. Here’s how blocking works:
  • Identify the characteristic that might influence the experiment's outcomes (e.g., age, gender, soil type).
  • Form blocks by grouping units that share this characteristic.
  • Within each block, randomly assign the different treatments being studied.
By reducing variability within each block, blocking helps to ensure that any observed differences in outcomes are more likely attributable to the treatments rather than to the characteristics of the subjects. This technique is similar to stratified random sampling in that both methods involve grouping based on specific characteristics, but they are used for different purposes:
  • Blocking in experimental design aims at more accurate treatment effect estimation.
  • Stratified random sampling aims at creating a more representative sample of the population.
Utilizing blocking effectively can significantly improve the robustness and credibility of the experimental findings.

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Most popular questions from this chapter

In Problems 11-22, identify the type of sampling used. To determine the prevalence of human growth hormone (HGH) use among high school varsity baseball players, the State Athletic Commission randomly selects 50 high schools. All members of the selected high schools' varsity baseball teams are tested for HGH.

Does alerting shoppers at a grocery store regarding the healthiness (or lack thereof) of energydense snack foods change the shopping habits of overweight individuals? To answer this question, researchers randomly gave 42 overweight shoppers a recipe flyer that either contained health information or did not contain the health information. This type of intervention is referred to as priming. To determine purchases. the receipts of the participants were reviewed. Results of the study found that shoppers primed with the health- and diet-related words on the recipe bought significantly (almost \(75 \%\) ) fewer unhealthy snacks than those without the primes. (a) What is the research objective? (b) Who are the subjects? (c) Explain why blinding is not possible in this study. (d) What is the explanatory variable in the study. (e) The response variable was number of unhealthy snacks purchased. Is this quantitative or qualitative? (f) Another factor in the study was weight status (normal weight vs overweight). Suppose all the normal weight subjects were given the flyer with the prime and overweight subjects were given the flyer without the prime. Explain how confounding would play a role in the study.

Researchers wanted to test the effectiveness of a new cognitive behavioral therapy (CBT) compared with both an older behavioral treatment and a placebo therapy for treating insomnia. They identified 75 adults with insomnia. Patients were randomly assigned to one of three treatment groups. Twenty-five patients were randomly assigned to receive CBT (sleep education, stimulus control, and time-in-bed restrictions), another 25 received muscle relaxation training \((\mathrm{RT}),\) and the final 25 received a placebo treatment. Treatment lasted 6 weeks, with follow-up conducted at 6 months. To measure the effectiveness of the treatment, researchers used wake time after sleep onset (WASO). CBT produced larger improvements than did RT or placebo treatment. For example, the CBT-treated patients achieved an average \(54 \%\) reduction in their WASO, whereas RT-treated and placebo-treated patients, respectively, achieved only \(16 \%\) and \(12 \%\) reductions in this measure. Results suggest that CBT treatment leads to significant sleep improvements within 6 weeks, and these improvements appear to endure through 6 months of follow-up. (a) What type of experimental design is this? (b) What is the population being studied? (c) What is the response variable in this study? (d) What are the treatments? (e) Identify the experimental units. (f) Draw a diagram similar to Figure 7,8 , or 10 to illustrate the design.

Is there an association between daily coffee consumption and the occurrence of skin cancer? Researchers asked 93,676 women to disclose their coffeedrinking habits and also determined which of the women had nonmelanoma skin cancer. The researchers concluded that consumption of six or more cups of caffeinated coffee per day was associated with a reduction in nonmelanoma skin cancer. Source: European Journal of Cancer Prevention, \(16(5): 446-452,\) October 2007 (a) What type of observational study was this? Explain. (b) What is the response variable in the study? What is the explanatory variable? (c) In their report, the researchers stated that "After adjusting for various demographic and lifestyle variables, daily consumption of six or more cups was associated with a \(30 \%\) reduced prevalence of nonmelanoma skin cancer." Why was it imnortant to adiust for these yariables?

A research objective is presented. For each, identify the population and sample in the study. A farmer interested in the weight of his soybean crop randomly samples 100 plants and weighs the soybeans on each plant.

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