Data Management and Collection Methods

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Questions and Answers

What defines data in the context of data management?

  • Data are always numerical facts only.
  • Data are raw facts that require organization to become useful. (correct)
  • Data can never be qualitative.
  • Data management is irrelevant to analyzing results.

Which of the following is NOT a component of data management?

  • Preparing data for analysis
  • Documenting and archiving data
  • Checking and correcting raw data
  • Storing data permanently without review (correct)

What is a primary advantage of conducting a sample survey compared to a census?

  • It lowers costs and speeds up data collection. (correct)
  • It is always more accurate than a census.
  • It eliminates the need for data management.
  • It requires a larger population.

When is an experiment most appropriate?

<p>When the aim is to observe effects of controlled variables. (D)</p>
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What is a characteristic of observation studies?

<p>They are suitable for gathering insights without intervention. (A)</p>
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What is the primary purpose of data management concerning future studies?

<p>To ensure high-quality data for correct conclusions. (A)</p>
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Which of the following statements is true about census data collection?

<p>Census collects information from all members of a population. (A)</p>
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Which of the following is a disadvantage of using a census?

<p>It can be prohibitively expensive and time-consuming. (C)</p>
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What is a characteristic of systematic sampling?

<p>It selects every nth element from a list. (C)</p>
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What is a main drawback of systematic sampling?

<p>It is vulnerable to periodicities in the list. (D)</p>
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Why might stratified sampling be used instead of simple random sampling?

<p>It allows for equal representation of all categories. (D)</p>
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What changes in the selection probability occur in systematic sampling?

<p>Different samples of the same size can have varying probabilities. (C)</p>
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In stratified sampling, how is the population organized?

<p>Into distinct categories or strata. (D)</p>
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What is the primary goal of creating strata in stratified sampling?

<p>To enable researchers to analyze distinct subgroups. (B)</p>
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How can systematic sampling help with databases?

<p>It facilitates efficient sampling through regular intervals. (B)</p>
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What is a potential limitation of using systematic sampling in a population with a defined pattern?

<p>It can result in oversampling or undersampling of certain segments. (A)</p>
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What is the primary purpose of using a chi-square goodness of fit test?

<p>To determine if sample data matches a population (D)</p>
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What design is characterized by measurements taken on the same subject before and after treatment?

<p>Matched pairs design (A)</p>
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Which of the following is NOT an assumption of the chi-square test?

<p>Normal distribution of data (A)</p>
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In a randomized block design, what is the function of the blocks?

<p>To control for variables that could affect the outcome (B)</p>
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What does a very small chi-square test statistic indicate?

<p>The observed data fits the expected data well (A)</p>
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What is the main difference between the chi-square test for independence and the goodness of fit test?

<p>Goodness of fit test assesses whether data matches a population (D)</p>
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In completely randomized designs, how are levels of the primary factor assigned?

<p>Randomly assigned to experimental units (A)</p>
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Which of the following best describes the observations required for the chi-square test?

<p>All observations must be independent (C)</p>
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Which condition is NOT crucial for effective stratified sampling?

<p>Ensuring equal representation of all strata (C)</p>
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What is a primary benefit of cluster sampling?

<p>It reduces travel and administrative costs. (D)</p>
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What is matched random sampling specifically designed to address?

<p>Pairing subjects that share a key characteristic. (A)</p>
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What is a potential drawback of cluster sampling?

<p>It may introduce bias if clusters are not representative. (D)</p>
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In a well-designed experiment, why is it essential to compare new treatments with standard treatments?

<p>To allow unbiased estimates of treatment effects. (A)</p>
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Which aspect does NOT contribute to the effectiveness of stratified sampling?

<p>Minimization of variability within the population as a whole (B)</p>
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Which characteristic is essential for a well-conducted statistical experiment?

<p>Stating the purpose of the research clearly. (B)</p>
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What is one consequence of increasing variability among clusters in cluster sampling?

<p>It may lead to less reliable sample estimates. (C)</p>
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What is a confounding variable?

<p>An extraneous variable that influences both dependent and independent variables (B)</p>
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What is the primary purpose of blinding in an experiment?

<p>To ensure patients do not know if they received a treatment or a placebo (C)</p>
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Why is it incorrect to conclude a causal relationship from the correlation between ice cream sales and drowning deaths?

<p>The observed correlation is due to a third factor, summer weather (B)</p>
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What is a placebo effect?

<p>Improvement from treatment without active ingredients (C)</p>
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What does blocking aim to accomplish in an experiment?

<p>Control for specific sources of variability (D)</p>
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In a completely randomized design, what is primarily studied?

<p>The effects of one primary factor (B)</p>
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Which of the following best describes a randomized block design?

<p>Subjects are grouped by a specific attribute before treatment assignment (B)</p>
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What is the purpose of a control group in an experiment?

<p>To provide a basis for comparing the effects of treatment (D)</p>
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What is the calculated value of the chi-squared statistic?

<p>14.07 (D)</p>
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What is the significance level ($\alpha$) used in this analysis?

<p>0.10 (B)</p>
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What is the critical value for a chi-squared test with 2 degrees of freedom at a significance level of 0.10?

<p>4.605 (A)</p>
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Why can the null hypothesis ($H_0$) be rejected based on the calculated chi-squared statistic?

<p>The chi-squared statistic is greater than the critical value. (A)</p>
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In the chi-squared calculation, what does the term $(O - E)$ represent?

<p>The difference between observed and expected frequencies. (A)</p>
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How is the value of $E$ (expected frequency) determined for each cell in the table?

<p>By multiplying row total by column total then dividing by the grand total. (A)</p>
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Which of the following describes the result of the statistical test indicated in the content?

<p>There is strong evidence of a relationship. (A)</p>
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What is the purpose of calculating $(O - E)^2 / E$ for each cell?

<p>To quantify how much each cell deviates from expected values. (A)</p>
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Flashcards

Data Management

The process of organizing, storing, and using data effectively.

Data

Raw information or facts that can become useful when organized.

Census

Gathering data from every member of a population.

Sample Survey

Collecting data from a smaller group representing a larger population.

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Experiment

A study with controlled variables to see how changes affect outcomes.

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Observation Study

A study observing real-world events and collecting data without intervention.

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Data Quality

The accuracy and reliability of the data gathered. Important for analysis.

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Replication

The ability to repeat an experiment and get similar results.

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Systematic Sampling

A probability sampling method where every nth item from a list is selected, starting with a randomly chosen first item.

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Strata

Subgroups or categories within a population, used in stratified sampling.

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Probability Sampling

Sampling method ensuring every member of the population has a known, non-zero chance of selection

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SRS

Simple Random Sampling

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Periodicities

Recurring patterns or cycles in a list or population that can bias systematic sampling.

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Stratified Sampling

Sampling method that divides a population into distinct groups (strata), then selects a sample from each stratum.

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Different selection probabilities

In systematic sampling, different sets of the same sample size do not always have the same probability of being chosen.

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Sampling Frame

A list or database of all the members in the population that researcher intend to study

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Stratified Sampling

Dividing a population into groups (strata) and taking a sample from each.

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Strata Variability

The differences within each subgroup (strata) of the population.

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Cluster Sampling

Selecting groups (clusters) of individuals, then sampling individuals within those clusters.

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Matched Random Sampling

Choosing similar pairs or using the same subject multiple times, under different conditions for comparison.

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Well-Designed Experiment

A study that clearly outlines its purpose, treatment comparison, and expected variability.

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Treatment Effects

The changes observed from applying a treatment in an experiment.

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Standard Treatment

A pre-existing, known, treatment used in experiments as a benchmark for comparison.

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Experimental Variability

The variation in results that is not due to the treatment but might be due to other factors.

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Confounding Variable

An extraneous variable that correlates with both the independent and dependent variables, potentially leading to a false causal relationship.

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Placebo Effect

Improvement in a medical condition due to the expectation of treatment, even if the treatment itself is harmless.

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Blinding

A technique in research where participants do NOT know which treatment group they belong to (or receive) to reduce bias.

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Blocking

Grouping experimental units into similar blocks to control for an extraneous variable that is NOT the main factor being tested.

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Completely Randomized Design

Experiment design where participants are randomly assigned to different treatment groups to examine the effect of only one primary factor.

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Type I Error

Mistakenly concluding there's a relationship between variables when there isn't.

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Independent Variable

The variable that is manipulated or changed in an experiment to observe its effect.

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Dependent Variable

The variable that is measured or observed to see how it changes in response to the independent variable.

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Completely Randomized Design

An experiment where levels of a factor are randomly assigned to experimental units.

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Randomized Block Design

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

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Matched Pairs Design

A special case of randomized block design where blocks have two elements.

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Chi-Square Test

Used to compare observed and expected frequencies for one or more categories.

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Goodness-of-Fit Test

A chi-square test to see if sample data fits a population.

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Test of Independence

A chi-square test on contingency tables to find if variables are related.

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Chi-Square Statistic

A value used to assess the difference between observed and expected frequencies in a chi-square test.

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Assumptions of Chi-Square

Random sample, independent observations, and no expected count less than 5.

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Test Statistic Calculation (𝜒²)

A calculation formula used to evaluate if there's a relationship or association between two variables. It's derived by comparing observed (O) and expected (E) frequencies in contingency tables.

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Observed Frequency (O)

The actual number of times an outcome or combination of outcomes occurs in data.

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Expected Frequency (E)

The predicted number of times an outcome or combination of outcomes occurs if there is no association between the variables being tested.

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𝜒²

A statistical measure used to assess relationships between categorical variables. A large value indicates a strong association between the variables.The sum of (O-E)²/E.

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Degrees of Freedom

A parameter determining the critical value of the 𝜒² distribution. Usually the number of categories minus one.

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Critical Value

The threshold value of the test statistic (𝜒²) that defines when we have enough evidence to reject the null hypothesis under a predetermined level of significance.

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Null Hypothesis (H₀)

The assumption that there is no relationship or association between the variables being tested.

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Rejection of H₀

Deciding, based on the statistical test, that the data strongly suggests the relationship between the variables is more likely true than not.

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Study Notes

Data Management

  • Data are raw information or facts that become useful information when organized meaningfully.
  • Data can be qualitative or quantitative.
  • Data Management involves looking after and processing data.
  • Tasks include: looking after field data sheets, checking and correcting raw data, preparing data for analysis, documenting and archiving data and metadata.

Importance of Data Management

  • Ensures data for analysis is high quality, leading to correct conclusions.
  • Allows future use of data and efficient integration with other studies.
  • Improves processing efficiency, data quality, and the meaningfulness of data.

Planning and Conducting an Experiment or Study

Methods of Data Collection

  • Census: Systematically collecting data from all members of a population. Rarely used due to high cost and dynamic populations.
  • Sample Survey: Selecting a subset of a population to gain knowledge about the entire population. Cost-effective, faster, and allows for better data accuracy and quality.
  • Experiment: Used when controlled variables (e.g., treatments) are studied to see their effect on other observed variables (e.g., patient health). Requires replication.
  • Observation Study: Used when there are no controlled variables and replication is impossible. Often uses surveys to observe correlations, like between smoking and lung cancer.

Planning and Conducting Surveys

  • Well-designed Surveys: Surveys should accurately represent the population.
  • Probabilistic Methods: Incorporate chance (like random number generators) to select participants to ensure accurate representation.
  • Neutral Wording: Questions should be worded neutrally to prevent biased responses.
  • Sampling Methods: Methods include non-probability and probability sampling.
  • Non-probability sampling: Elements may have no chance of selection or probability of selection is unknown (e.g. convenience sampling where the first person who answers the door is selected).
  • Probability Sampling: Methods where the probability of selecting each element is known (e.g. Simple Random Sampling (SRS) where every member has an equal chance). Common probability sampling methods include SRS, Systematic Sampling, Stratified Sampling, and Cluster Sampling.

Planning and Conducting Experiments

  • Characteristics: Include stating research purpose, estimation of treatment effects, alternative hypotheses, comparison of new treatments to standard treatments, experimental design (blocking), examination of results to suggest further research, and documenting results.
  • Randomization: Essential for minimizing bias by randomly assigning treatments to experimental units.
  • Replication: Repeating measurements and observations helps to reduce variability.
  • Control Groups: A control group, that doesn't receive the treatment, is used for comparison.
  • Experimental Units: The subjects or items for which treatment is tested.
  • Blinding: (in experiments) Where participants and/or researchers are kept ignorant of group assignments to eliminate observer bias.
  • Placebos: A placebo is a treatment that seems real but has no active ingredient.
  • Blocking: Experimental units are put in groups that are similar so that there is no bias in variables that are unrelated to the treatment

Data Analysis Methods

Chi-Square Tests

  • Goodness-of-Fit Test: See if a sample matches a population.
  • Test of Independence: Used to evaluate if two variables are related or independent of each other.

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