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Select the best answer Archaeologists plan to examine a sample of 2-meter-square plots near an ancient Greek city for artifacts visible in the ground. They choose separate random samples of plots from floodplain, coast, foothills, and high hills. What kind of sample is this? (a) A cluster sample (b) A convenience sample (c) A simple random sample (d) A stratified random sample (e) A voluntary response sample

Short Answer

Expert verified
(d) A stratified random sample.

Step by step solution

01

Understand Sampling Methods

First, we need to understand the definitions of the different sampling methods: - A **cluster sample** involves dividing the population into clusters and then randomly selecting entire clusters. - A **convenience sample** is chosen based on ease of access. - A **simple random sample** gives every individual an equal chance of being chosen from one entire group. - A **stratified random sample** involves dividing the population into subgroups (strata) and then randomly sampling from each strata. - A **voluntary response sample** includes individuals who choose themselves by responding to a general appeal.
02

Analyze the Sample Type

In this exercise, archaeologists have divided the area into different strata based on geographical features: floodplain, coast, foothills, and high hills. From each of these, they choose separate random samples. This indicates that they have created strata and then conducted random sampling within each.
03

Match the Definition

Based on our understanding, the architects' sampling method matches exactly with the description of a **stratified random sample**, as they are choosing random samples from predefined groups (strata).

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Key Concepts

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

Sampling Methods
Understanding sampling methods is essential for conducting effective research. Sampling involves selecting a group of individuals or plots from a larger population to infer insights without examining the entire group. Several methods exist, each tailored for different types of studies and goals.

One common method is the **simple random sample**, which gives every member of a population an equal chance of being selected. This method reduces bias and is straightforward to execute, making it ideal for populations that are large and homogeneous.

Another approach is the **cluster sample**. This involves dividing the population into clusters, then randomly selecting whole clusters to study. This can be efficient when dealing with large geographically spread populations, as it limits logistical expenses.

The **convenience sample** is often selected for its ease and speed. Researchers choose subjects that are easy to reach, though this can lead to significant biases and is less reliable.

**Voluntary response samples** are made up of individuals who actively choose to partake, often responding to a public request. While this can gather enthusiastic participants, the results might not represent the entire population well.

Finally, the **stratified random sample** divides the population into distinct subgroups, or "strata", then randomly samples from each. This ensures representation from all subgroups, which is perfect for heterogeneous populations with distinct segments, like geographic regions in archaeological studies.
Population Stratification
Population stratification is a technique used to improve the accuracy of sampling within a study by ensuring representation of key subgroups within a population. When a population consists of distinct layers or "strata", like age groups, income levels, or in the archaeologists' case, geographical features, stratification helps ensure that each layer is properly represented in the sample.

By dividing the population and creating these subgroups, researchers can ensure that differences within the population are captured. This allows for more precise conclusions and minimizes biases that might occur if only one "type" of individual or plot is sampled.

In our archaeological example, the researchers recognized that artifacts might differ between areas such as floodplain, coast, foothills, and high hills. By stratifying based on geography and sampling within each geographical stratum, they ensure diverse insights and comprehensive data collection.
Random Sampling Techniques
Random sampling techniques play a critical role in conducting unbiased and reliable research. In simple terms, these techniques aim to give every possible subject or plot in the study the same probability of being selected. This randomness is key to obtaining a representative sample without systemic biases.

In the context of **stratified random sampling**, randomness is applied within distinct subgroups. For example, once the archaeologists have divided their study area into different geographical strata, they will employ random sampling techniques to choose specific plots within each stratum. This ensures that every plot in a stratum has an equal chance of selection, leading to more balanced and representative data.

Random sampling can take different forms, including using random number generators or drawing lots. The overarching goal remains the same: to mitigate bias and enhance the credibility of the findings. By integrating these techniques with stratification, researchers can derive more nuanced insights from their diverse populations.

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