Sampling Methods Quiz

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Questions and Answers

What data collection method is employed when a researcher surveys all students in an STI campus about their average traveling time to school?

  • Observational study
  • Sample survey (correct)
  • Field experiment
  • Census survey

If a hypothesis test involves two variables where the first variable has three outcomes and the second has four, what is the correct calculation for the degrees of freedom?

  • 6 (correct)
  • 3
  • 2
  • 12

What type of probability sampling is used when a researcher selects a starting point and then surveys every nth school in a city?

  • Cluster sampling
  • Systematic sampling (correct)
  • Stratified sampling
  • Random sampling

What error might occur if a researcher studying weight gain focuses primarily on teenagers to assess the relationship between weight and activity level?

<p>Sampling error (C)</p> Signup and view all the answers

What is the term used for the technique that keeps subjects unaware of which treatment they are receiving in an experiment?

<p>Blinding (B)</p> Signup and view all the answers

What is the term for an extraneous variable in a statistical model that correlates with both the dependent and independent variables?

<p>Confounding (C)</p> Signup and view all the answers

Which statistical method determines if there is a significant difference between expected and observed frequencies?

<p>Chi-square test (A)</p> Signup and view all the answers

What sampling method is characterized by some elements of the population having no chance of selection?

<p>Nonprobability sampling (C)</p> Signup and view all the answers

Which method of data collection involves controlled variables to study their effects on observed variables?

<p>Experiment (A)</p> Signup and view all the answers

What is the purpose of descriptive statistics?

<p>To summarize and describe the characteristics of a data set (C)</p> Signup and view all the answers

What is the formula for calculating degrees of freedom in a chi-square test?

<p>(number of rows - 1)(number of columns - 1) (C)</p> Signup and view all the answers

Which sampling method involves selecting a random sample from areas identified in the first stage?

<p>Cluster sampling (A)</p> Signup and view all the answers

Which of the following statements about a well-designed survey is false?

<p>The wording of the question must be biased. (D)</p> Signup and view all the answers

What is a key characteristic of simple random sampling?

<p>All selections have an equal probability of being chosen (A)</p> Signup and view all the answers

In probability sampling, if a researcher divides a sample based on gender and age, what sampling method is being utilized?

<p>Stratified sampling (C)</p> Signup and view all the answers

When is a goodness of fit test used?

<p>To determine if observed frequencies fit a theoretical distribution (C)</p> Signup and view all the answers

What will be the degrees of freedom if a chi-square goodness-of-fit test is performed on 9 categories?

<p>8 (A)</p> Signup and view all the answers

What is the primary goal of blocking in experimental design?

<p>To categorize experimental units into groups that are similar (D)</p> Signup and view all the answers

Which sampling method uses judgment to select subjects based on specified proportions?

<p>Quota sampling (A)</p> Signup and view all the answers

What type of design involves running a collection of completely randomized experiments within blocks?

<p>Randomized block design (D)</p> Signup and view all the answers

What is the mode of the data set consisting of the values 3, 4, 4, 4, 5, 6?

<p>4 (B)</p> Signup and view all the answers

Flashcards

Cluster Sampling

A sampling method where a sample of areas is first chosen, and then a random sample of respondents within those areas is selected.

Simple Random Sampling

Probability sampling where every sample of a given size has an equal chance of being chosen, and selections are independent.

Descriptive Statistics

Describing and summarizing characteristics of a data set.

Mode

The most frequent value in a data set.

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Sample Survey

A method of collecting data by selecting a subset of a population to learn about the whole population.

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Blocking

Arranging experimental units into groups that are similar to one another.

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Random Assignments

Used when all measurements have variations, and there's no completely deterministic process.

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Goodness of Fit Test

A test used when an experimental frequency distribution matches a theoretical or known probability distribution.

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Quota Sampling

Non-probability sampling where subjects are selected based on specified proportions.

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Chi-square

Used to determine if there's a significant difference between expected and observed frequencies in categories.

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Data

Raw information or facts organized meaningfully.

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Matched Random Sampling

A sampling method that pairs members of two samples.

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Randomized Block Design

A collection of completely randomized experiments within blocks of a total experiment.

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Systematic Sampling

Probability sampling that divides the population into strata and randomly selects one element from the first stratum and corresponding elements from other strata.

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Sample Survey

A data collection method where a researcher asks all students in a campus about their average travel time to school.

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Degrees of Freedom (Test of Independence)

In a test of independence with 3 outcomes for variable 1 and 4 outcomes for variable 2, the degrees of freedom are 6.

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Systematic Sampling

A probability sampling method where a researcher chooses a starting point and then selects other schools within a city to survey.

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Sampling Bias (Weight Gain & Activity)

If a researcher mostly chooses teenagers to study weight gain and activity, the results might overestimate or underestimate the relationship between the two.

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Stratified Sampling

A probability sampling method where the researcher selects specific groups (strata) and then samples from these, like selecting 5 classes of 50 students each from a 50,000 student population.

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Observation Study

A research method where no controlled variables or replication is possible.

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Placebo Effect

A simulated effect where medical interventions have no direct health impact.

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Blinding

A technique used to make subjects unaware of which treatment they are receiving.

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Confounding Variable

An extraneous variable that's related to both the independent and dependent variables in a study.

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Chi-square test

A statistical test used to determine if there's a significant difference between observed and expected frequencies in categories.

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Nonprobability sampling

A sampling method where not all members of a population have an equal chance of being selected.

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Experiment

A method of data collection where controlled variables are studied to determine their effect on other variables.

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Completely randomized design

A study design focusing on one main factor, ignoring other variables.

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Degrees of Freedom (Chi-square)

(Rows - 1) * (Columns -1) determines the number of independent values that can vary in a calculation.

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Expected Frequency (Chi-square)

The predicted frequency of an outcome in a category.

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Well-designed survey

A survey with unbiased question wording.

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Null Hypothesis

The assumption that the data aligns with a specified distribution.

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Chi-square test statistic

A value calculated to determine if significant differences exist.

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Cluster sampling

Sampling where respondents are selected from specific areas.

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Systematic sampling

Selecting participants at fixed intervals from a list.

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Stratified sampling

Dividing a sample based on characteristics like gender, age.

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Degrees of Freedom (Goodness-of-fit)

One less than the number of categories in a study.

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Degrees of Freedom (Test of Independence)

(Rows-1) x (Columns-1)

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Study Notes

Sampling Methods

  • Cluster Sampling: Selecting a sample of areas in the first stage, then selecting a random sample of respondents within those areas.
  • Simple Random Sampling: All samples of a given size have an equal probability of being selected, and selections are independent.
  • Systematic Sampling: Dividing the target population into strata of equal size, then randomly selecting one element from the first stratum and corresponding elements from all others.
  • Quota Sampling: Nonprobability sampling where judgment is used to select subjects based on specified proportions.
  • Stratified Sampling: Dividing the population into subgroups (strata), then taking a random sample from each stratum.
  • Cluster Sampling: Taking a random sample of areas in one stage and then taking a random sample of respondents within the chosen areas in a second stage.
  • Simple Random Sampling: Numbering members of the population, then randomly choosing members as part of a sample.
  • Nonprobability Sampling: Sample members have no chance of selection.
  • Randomized Blocking: Arranging experimental units in groups that are similar to one another.
  • Random Assignment: All data is subject to variation, indicating a non-deterministic process.

Descriptive Statistics

  • Mode: The most frequent value in a data set.
  • Descriptive Statistics: Summarizing and describing the characteristics of a data set.

Correlation and Surveys

  • Sample Surveys: Used to explore the correlation between smoking and lung cancer.
  • Correlation: Exploring the relationship between variables.

Hypothesis Testing

  • Goodness of Fit Test: Used to determine if an observed frequency distribution matches an expected frequency distribution, using theoretical or previously known data.
  • Chi-Square Test: Used to determine if there is a significant difference between expected and observed frequencies in data categories.
  • Degrees of Freedom: Formula: (number of rows - 1) * (number of columns - 1)

Experimental Design

  • Completely Randomized Design: Each experiment runs within a block.
  • Randomized Block Design: A collection of completely randomized experiments, each running within a block.
  • Observation Study: No controlled variables and replication are possible.
  • Experiments: Data collection where intention is to study the effect of controlled variables.

Data Collection

  • Data: Raw information that is organized and useful.
  • Sample Survey: A method of data collection for yielding some knowledge about a population.
  • Matched Random Sampling: A sampling method which pairs sample members to ensure both groups are similar in characteristics.
  • Confounding: The extraneous variable in a statistical model that correlates positively or negatively with both the dependent and independent variables.
  • Placebos: Simulations of effect where there is no direct impact.
  • Blinding: Technique used to make subjects unaware of which treatment is being given.

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