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Questions and Answers

In simple random sampling, what should be determined before the sampling process begins?

  • The population size, to ensure an adequate sample can be drawn.
  • The direction (rows or columns) in which to read the table of random numbers. (correct)
  • The specific random numbers to be selected from a table.
  • The research question that will be addressed once the data is collected.

When using a table of random numbers for simple random sampling, what action should be taken if a number is repeated?

  • Use the repeated number and continue until the desired number of samples is reached.
  • Skip the repeated number and proceed to the next unique number in the table. (correct)
  • Average the repeated number with the next available number.
  • Use the repeated number and adjust the sample size accordingly.

What does 'N' represent when using the NRan# function on a calculator for generating random numbers?

  • The number of random numbers to generate.
  • Systematic sampling interval.
  • The desired sample size.
  • The population size. (correct)

In systematic random sampling, how is the interval 'K' calculated?

<p>K = N/n (population size divided by sample size). (D)</p> Signup and view all the answers

In systematic random sampling, after calculating the interval K, what is the next step?

<p>Enumerate the elements and use table of random numbers for random start. (C)</p> Signup and view all the answers

What is the primary purpose of stratifying a population before random sampling?

<p>To ensure that the sample is representative of all subgroups within the population. (B)</p> Signup and view all the answers

What differentiates proportional stratified sampling from disproportional stratified sampling?

<p>Whether the sample size from each stratum is in proportion to its size in the population. (A)</p> Signup and view all the answers

After constructing the population and relevant strata in stratified random sampling, what is the subsequent step?

<p>Selecting the number of participants using proportional or disproportional stratified sampling. (B)</p> Signup and view all the answers

A researcher is studying the impact of a new teaching method on student test scores at a particular school. Which unit of analysis is most appropriate for this study?

<p>Individual student (D)</p> Signup and view all the answers

In probability sampling, what is the primary goal when selecting elements from a population?

<p>To examine representative elements of the population. (A)</p> Signup and view all the answers

Which of the following methods ensures that each element of the population has an equal chance of being selected?

<p>Simple random sampling (B)</p> Signup and view all the answers

In the fishbowl technique, what is the key difference between 'random sample with replacement' and 'random sample without replacement'?

<p>In 'with replacement', the selected element is returned to the container. (B)</p> Signup and view all the answers

A researcher uses the fishbowl technique to select a sample of 50 students from a population of 500. After drawing each name, they do not return it to the bowl. What type of sampling is this?

<p>Simple random sampling without replacement (B)</p> Signup and view all the answers

When using a table of random numbers, what is the purpose of selecting an arbitrary starting point?

<p>To maintain the randomness of the selection process. (C)</p> Signup and view all the answers

A researcher needs to select 60 participants from a population of 600 using a table of random numbers. After assigning a unique number to each participant, the researcher closes their eyes and points to a number in the table to start. What should the researcher do next?

<p>Continue systematically through the table, selecting numbers until 60 participants are chosen. (A)</p> Signup and view all the answers

A researcher is using a table of random numbers to select participants. They encounter a number that has already been selected. What should they do?

<p>Skip the number and move to the next one. (C)</p> Signup and view all the answers

In what scenario is disproportional stratified sampling most applicable?

<p>When certain strata are too small and need oversampling to ensure adequate representation. (B)</p> Signup and view all the answers

Which of the following best describes multistage cluster sampling?

<p>Randomly selecting clusters, then randomly selecting smaller units within those selected clusters in stages. (A)</p> Signup and view all the answers

What is the primary purpose of power analysis in research design?

<p>To determine the minimum sample size needed to detect a statistically significant effect, if one exists. (B)</p> Signup and view all the answers

How does effect size influence the power of a statistical test?

<p>As the effect size increases, the power of the test increases. (B)</p> Signup and view all the answers

What effect does decreasing the alpha level (e.g., from 0.05 to 0.01) have on the power of a hypothesis test, assuming other factors are constant?

<p>It decreases the power of the test. (A)</p> Signup and view all the answers

When might a researcher choose to use a one-tailed test instead of a two-tailed test, and what is the impact on statistical power?

<p>When the researcher has a directional hypothesis; it increases power. (B)</p> Signup and view all the answers

How does increasing the sample size affect the power of a statistical test, assuming all other factors remain constant?

<p>Increasing the sample size increases the power. (C)</p> Signup and view all the answers

What is G*Power primarily used for in statistical analysis?

<p>To compute statistical power analyses, effect sizes, and determine suitable sample sizes. (D)</p> Signup and view all the answers

A researcher aims to understand the experiences of individuals who have achieved remarkable success in overcoming adversity. Which sampling strategy is most appropriate?

<p>Extreme/deviant case sampling (D)</p> Signup and view all the answers

In a grounded theory study, a researcher is collecting and analyzing data simultaneously, adjusting future data collection based on emerging insights, to build a substantive theory. Which sampling method aligns with this approach?

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

A research team is studying the experiences of nurses working in intensive care units (ICUs). They decide to initially interview a diverse group of nurses, and then ask these nurses to recommend other potential participants who also have experience working in ICUs. Which sampling method are they using?

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

A researcher is conducting a study on the experiences of individuals with a specific medical condition. To ensure comprehensive understanding, they aim to include participants representing a wide range of perspectives, demographics, and disease severity. Which sampling strategy aligns with this goal?

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

A researcher is studying the impact of a new educational program on student performance. They specifically want to focus on students who meet a certain academic threshold to determine if the program is effective for high-achieving individuals. Which sampling method is most appropriate?

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

In a qualitative study, a researcher continues to collect data until they reach a point where new data provides no new insights or information. This principle is known as:

<p>Data saturation (D)</p> Signup and view all the answers

A researcher is studying average experiences of patients undergoing a common medical procedure. Which purposive sampling approach would be most suitable?

<p>Typical case sampling (B)</p> Signup and view all the answers

A research report detailing a qualitative study should include which of the following descriptions?

<p>The type of sampling procedure used (C)</p> Signup and view all the answers

In G*Power, what is the primary purpose of specifying the 'Test family'?

<p>To indicate the specific statistical test that will be used in the analysis. (C)</p> Signup and view all the answers

What does the 'alpha error probability' (α) represent in the context of power analysis using G*Power?

<p>The probability of rejecting a true null hypothesis. (C)</p> Signup and view all the answers

If a researcher sets the alpha value to 0.01, how does this affect the required sample size compared to setting it at the conventional 0.05, assuming all other parameters are constant?

<p>The sample size will increase. (B)</p> Signup and view all the answers

In power analysis, what is the relationship between 'estimated power' and the 'beta value' (β)?

<p>Estimated power is one minus the beta value (Power = 1 - β). (B)</p> Signup and view all the answers

A researcher is planning a study and wants to minimize the risk of a Type II error. According to the content, what would be a commonly accepted beta value (β) they might use in their power analysis?

<p>0.20 (A)</p> Signup and view all the answers

A researcher is planning a correlational study and anticipates a small effect size (r = 0.1). Which of the following adjustments would be MOST effective in increasing the power of the study, assuming all other factors remain constant?

<p>Increase the sample size. (A)</p> Signup and view all the answers

In the context of the example provided, why is it important to estimate the correlation size (r) between overtime hours and burnout symptoms when planning the study?

<p>To calculate the required sample size for adequate statistical power. (B)</p> Signup and view all the answers

What is the consequence of a Type II error in research?

<p>Missing a real effect that is present. (B)</p> Signup and view all the answers

A researcher administers the same instrument to a group of participants at two different times and obtains significantly different scores. Which of the following factors could potentially explain this?

<p>The participants' true scores on the construct being measured have changed between administrations. (B)</p> Signup and view all the answers

Which of the following is the primary emphasis in the modern definition of validity?

<p>Demonstrating that the test interpretation of scores matches its proposed use with sound evidence. (A)</p> Signup and view all the answers

A researcher wants to use an existing instrument to measure a construct in a new population. What should they do to establish validity for this new use?

<p>Examine prior studies, evaluate the purpose for which the instrument was used, and assess the evidence linking interpretation to use. (C)</p> Signup and view all the answers

When evaluating the validity of an instrument, what is the most important factor to consider?

<p>Whether the instrument measures the construct it is intended to measure for its intended use. (B)</p> Signup and view all the answers

A Likert scale asking respondents to rate their agreement with a statement from 'Strongly Disagree' to 'Strongly Agree' is an example of what type of scale?

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

Researchers are collecting demographic data and ask participants to select their ethnicity from a list of categories (e.g., White, Black, Asian, Hispanic). This is an example of which type of scale?

<p>Nominal Scale (D)</p> Signup and view all the answers

A researcher asks participants to rank their preferences for different brands of coffee from most preferred to least preferred. What type of scale is being used?

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

In a study examining customer satisfaction, participants are asked to check all the options that apply from a list of attributes they value in a product (e.g., Durability, Price, Design, Functionality). Which scale of measurement is being used for each attribute?

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

Flashcards

Step 1 of Data Collection

Determining who will be studied.

Step 2 of Data Collection

Getting the necessary approvals.

Step 3 of Data Collection

Deciding what data to gather from available sources.

Step 4 of Data Collection

Finding proper instruments to use to gather data.

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Step 5 of Data Collection

Implementing your data-gathering plan.

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Unit of Analysis

The level at which data is gathered (e.g., individual, family).

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Probability Sampling

Using a random selection process to choose a sample.

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Simple Random Sampling

Each member has an equal chance of being picked.

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Systematic Random Sampling

Selecting every kth element (e.g., every 5th) from a population.

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Sampling Interval (K)

The constant interval used when you choose participants.

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Steps in Systematic Sampling

  1. Create population frame. 2. Compute K (N/n). 3. Enumerate N. 4. Random start. 5. Select every nth member 6. Stop when you arrive at your desired # of participants.
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Stratified Random Sampling

Population divided into subgroups (strata) based on important variables.

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Steps in Stratified Sampling

  1. Create population/strata. 2. Select # using proportional/disproportional stratified sampling. 3. Choose participants in each category using simple random sampling.
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Proportional Stratified Sampling

Sample size from each stratum is proportional to its size in the population.

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Table of Random Numbers

Using a table to pick unique random numbers within a sample.

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Disproportional Stratified Sampling

Sampling from strata where the number of members chosen is NOT proportional to the stratum size in the population.

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Multistage Cluster Sampling

Large groups are the sampling units. (Region > Province > Town > Barangay)

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Power of a Statistical Test

The probability that the test will correctly reject a false null hypothesis. Identifying a treatment effect if one exists.

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Effect Size & Power

As effect size increases, the probability of rejecting Ho also increases, meaning test power increases.

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Sample Size & Power

A larger sample produces greater power for a hypothesis test.

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Alpha Level & Power

Reducing the alpha level also reduces the power of the test.

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One-Tailed vs. Two-Tailed Tests & Power

Changing from a two-tailed test to a one-tailed test increases the power if the treatment effect is in the predicted direction.

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G*Power

Tool to compute statistical power analyses for different tests, effect sizes and display results graphically.

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Test Family (in G*Power)

The statistical test appropriate for your analysis (e.g., t-test, correlation).

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Effect Size

The expected strength of the relationship between variables.

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Alpha Error Probability

The probability of rejecting a true null hypothesis (false positive).

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Estimated Power (1-β)

The probability of correctly rejecting a false null hypothesis (true positive).

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Type I Error Rate (α)

The risk of saying there is an effect when there isn't one.

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Type II Error Rate (β)

The risk of saying there's no effect when there actually is one.

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Estimating Correlation Size

Finding similar studies to estimate the correlation size between hours worked and symptoms.

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Instrument Reliability

Consistency of scores when an instrument is administered multiple times.

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Factors Affecting Reliability

Ambiguous questions, varying test procedures, and participant factors.

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Instrument Validity

Evidence that the instrument measures the intended concept or construct.

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Steps to Determine Validity

Examine prior studies, purpose of instrument used in studies, and how researchers interpreted the scores.

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Scales of Measurement

Response options to questions that measure variables.

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Categorical Scales

Nominal and ordinal scales.

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Nominal Scales

Provide response options where participants check categories describing their traits, attributes, or characteristics.

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Ordinal Scales

Provide response options where participants rank traits, attributes, or characteristics.

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Nominated Sampling

Relies on referrals from existing participants to recruit new members.

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Purposive Sampling

Selecting participants based on specific information needs that emerge during the study.

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Maximum Variation Sampling

Selecting participants to represent a wide range of variation on key dimensions.

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Homogenous Sampling

Reducing variation in the sample for a focused inquiry.

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Typical Case Sampling

Selecting participants who represent what is typical or average.

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Extreme/Deviant Case Sampling

Studying unusual or extreme cases to learn from successes or notable failures.

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Criterion Sampling

Studying cases that meet a predetermined criterion of importance to gain novel insights.

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Theoretical Sampling

Collecting and analyzing data simultaneously to develop a theory as it emerges.

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Study Notes

Five Steps in Data Collection Process

  • Determine Participants
  • Secure permissions from individuals/organizations
  • Consider types of information to collect from sources
  • Locate and select useful instruments
  • Administer the data collection process

Identifying Participants

  • Identify the unit of analysis, consider: individual, family, school, school district.
  • Specify the population and sample

Population, Target, and Sample

  • Population: The group of individuals sharing a characteristic.
  • Target Population/Sampling Frame: The list of sampling units from which a sample is selected.
  • Sample: The group of study participants selected from the target population

Probability Sampling

  • Involves random selection of a sample from a population’s members.
  • Aims to examine representative elements of populations.

Simple Random Sampling

  • A probability sampling method that ensures equal and independent chance of each population element being chosen.
  • Ways to select a simple random sample: Fishbowl, table of random numbers, calculator.

Fishbowl Technique/Lottery Method steps

  • Write numbers for all participants on same-sized, colored papers.
  • Roll papers and place in a container.
  • Shake container thoroughly and draw a number.
  • Cease when the desired sample number is picked.

Fishbowl Technique Procedures

  • Random sample with replacement: drawn paper with the number is returned.
  • Random sample without replacement: drawn paper with the number is not returned.

Table of Random Numbers Method

  • Uses a list of numbers generated without order or sequencing.

Table of Random Numbers Method Steps

  • Assign number to each element of accessible population.
  • Enter table at a random starting point.
  • Continue systematically (up, down, left, right, diagonally) until sample is selected.
  • Select numbers in a chosen direction up to the desired number is reached.
  • Skip numbers if encountered more than once.

Calculator use to generate random numbers

  • Use NRan#
  • N stands for population size.
  • Ran# is the key for generating random numbers.

Systematic Random Sampling

  • Involves selecting every kth element of the population.
  • K = N/n, where K is the interval, N is the population size, and n is the sample size.

Systematic Random Sampling Steps

  • Construct population frame; assign each participant a number.
  • Compute the interval K using K = N/n.
  • Enumerate elements in the N set and include a number for random start.
  • Select a number using the Table of Random Numbers.
  • Select every nth population member using the number as system
  • Cease when the required participant number is obtained.

Stratified Random Sampling

  • Population divided into subgroups (strata) related to research study variables.
  • Steps: construct population, determine strata, select number using stratified sampling, choose category participants with simple random methods.

Two sample approaches from strata

  • Proportional Stratified: sample from each stratum is proportional to its size in population.
  • Disproportional Stratified: the number of members chosen is not in proportion to size of the total population.

Multistage Cluster Sampling

  • Cluster Random Sampling, large groups or "clusters" become sampling units.
  • Example order from largest area to smallest: Region, Province, Town, Barangay

Power Analysis

  • Correctly rejects a false null hypothesis in a statistical test's probability.
  • The probability a test identifies treatment effect if one exists.

Factors that Influence Power

  • Effect Size, as effect increases, Ho is rejected.
  • Sample Size, a larger sample produces higher test power.
  • Primary reasons for computing power is to determine sample size to achieve reasonable probability for study.
  • Alpha Level, reducing this will reduce power.
  • One-Tailed vs. Two-Tailed Tests, effects increase power by switching from regular two-tailed test to one-tailed if in the predicted direction.

G*Power Analysis

  • Used to compute statistical power analyses for t tests, F tests, x2 tests, z tests, and exact tests.
  • Computes effect sizes and displays power analysis results graphically.
  • Main purpose is to determine sample size needed to detect the given test effect at the desired significance level.

G*Power example with three pieces of information

  • Conduct a cross-sectional study to measure the correlation between overtime hours worked and burnout symptoms in emergency room nurses.
  • Sample size estimates to determine correlation significance from zero.
  • Three pieces of information required: estimate of the correlation size (r), a two-tailed alpha value (a), and a beta value (β)

Two-tailed alpha value (a)

  • Type I error rate: the risk of having non-zero correlation when the effect is not real
  • Alpha value is typically .05 or a 5% probability

Beta value (β)

  • Type II error rate-the risk of stating no significant effect when it exists
  • Beta value is typically .20
  • Estimated power asks for 1 – beta ( or 1 - .20 = .80)

Plugging in values from Power calculator

  • Can determine the sample size needed. By using the calculator to determine the sample size with r = .25, with a two-tailed alpha value of .05 and a beta value of .20
  • Power analysis will determine the need for at least 123 participants.
  • Use G*Power using the software program with following input parameters
    • Test family: Exact
    • Statistical test: Correlation: Bivariate normal model
    • Type of power analysis: A priori: Compute required sample size
    • Tails: Two
    • Correlation p Η1: .25
    • a err prob: .05
    • Power (1 – ẞ err prob): .8
    • Correlation p H0: 0

Nonprobability Sampling

  • Sample elements are chosen by nonrandom methods.
  • Individuals are representative of the population.
    • Convenience: readily available people/objects.
    • Snowball (network/chain): participants identify others to be in a sample.

Nonprobability Sampling continued again

  • Quota: Similar to stratified random sampling.
  • Purposive: aka judgmental sampling, involves "handpicking" of subjects,.

Sample Size Considerations in Quantitative Studies

  • Larger sample is most representative.
  • Larger sample is a smaller sampling error.
  • As sample increases, probability of getting odd samples diminishes (sampling bias).
  • Power analysis can determine the sample size.

Sample error

  • The difference between: a random sample of data vs If an entire population were measured

Sampling Bias

  • Occurs when samples are not carefully selected.

Sample Size Estimates (Creswell, 2019)

  • 15 participants per group in an experiment.
  • 30 participants for a variable correlational study.
  • 350 individuals for a study that uses a survey, but the size may vary.

Sampling Designs in Qualitative Studies

  • Convenience and Snowball: uses volunteer or nominated sampling.
  • Purposive: Select the sample purposefully.
  • Strategies of Purposive Sampling Patton 2015): Maximum, Homogenous, Typical case, Extreme/Deviant Case, Confirming and Disconfirming Cases.
  • Theroretical: most used in grounded theory

Data saturation

  • the guiding principle in qualitative sampling.

Sample Size in Qualitative studies

  • A small amount an analysis, or analysis
  • Final decisions during collections
  • studies: 25-50 informants, phenomenology: 10, Grounded : 20-30

Sample Description in Qualitative studies

  • Should include sampling procedure, population under eligiblity, studies and rationale

Types of Permissions required

  • Permission from institutions
  • Specific sites.
  • Participants, parents, or campus

Review Board Approval

  • An committee instititional of faculty
  • Obtaining Approvals
  • Star by process from boards
  • Determine needs for and of of form

Types of Qualitative Data and Measures

  • Measures Performance, types of test. intelligence etc...
  • Measures, observations, or and school

Selecting the appropriate instrument

  • Steps developing: phases objective, evaluate contruct
  • Chossing an 5 widely endorse document test

Instrument Modification

  • To locate, and use
  • Request of cite

Reliability and Validity of an Instrument

  • Stable scores, unambiguous, standardized test.
  • Validity: Evidence test matches use

V. The process

  • Types 2 nominal scales

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