Key Statistical Concepts Quiz
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Questions and Answers

What is the entire group of individuals being studied in research called?

Population

What is a subset of individuals that is selected from a population for analysis called?

Sample

What is the term for the differences in sample estimates from the population?

Sampling variation

What is a distribution of sample means from repeated samples called?

<p>Sampling Distribution</p> Signup and view all the answers

What is a statistical measure that estimates the precision of a sample mean relative to the population mean?

<p>Standard Error (SE)</p> Signup and view all the answers

What statistical measure quantifies the variability of individual observations around their mean?

<p>Standard Deviation (SD)</p> Signup and view all the answers

What is the term for a range that estimates a true population parameter with a certain level of confidence?

<p>Confidence Interval</p> Signup and view all the answers

What statistical value represents the probability of observing the data under the null hypothesis?

<p>P-value</p> Signup and view all the answers

What type of distribution is symmetrical and where the mean equals the median?

<p>Normal Distribution</p> Signup and view all the answers

What does 'n' represent in statistics?

<p>Sample Size</p> Signup and view all the answers

What is the average value of a set of numbers called?

<p>Mean</p> Signup and view all the answers

What refers to the extent to which values in a dataset spread from the mean?

<p>Dispersion</p> Signup and view all the answers

What is a procedure for determining if a hypothesis is true?

<p>Hypothesis Testing</p> Signup and view all the answers

What statistical approach focuses on the frequency of events in sampling?

<p>Frequentist Statistics</p> Signup and view all the answers

What branch of statistics focuses on drawing conclusions about populations based on samples?

<p>Inferential Statistics</p> Signup and view all the answers

What branch of statistics is primarily used for summarizing characteristics of a data set?

<p>Descriptive Statistics</p> Signup and view all the answers

What refers to the probability of correctly rejecting a false null hypothesis?

<p>Power</p> Signup and view all the answers

What are procedures for making inferences about populations called?

<p>Statistical Tests</p> Signup and view all the answers

What statistical measure represents the average of squared deviations from the mean?

<p>Variance</p> Signup and view all the answers

What is the sMFQ?

<p>A questionnaire used to measure depressive symptoms in youth</p> Signup and view all the answers

What is the term for the distribution of means from multiple samples taken from the same population?

<p>Sampling Distribution of the Mean</p> Signup and view all the answers

What does 'Mean of the Means' refer to?

<p>The true population mean that is estimated from the sample means</p> Signup and view all the answers

What is another term for the normal distribution?

<p>Gaussian distribution</p> Signup and view all the answers

What does the Central Limit Theorem state about the sampling distribution of the mean?

<p>It approaches normality with increasing sample size.</p> Signup and view all the answers

What is a standardized score that indicates the distance of a data point from the mean in terms of standard deviations?

<p>Z-score</p> Signup and view all the answers

What kind of normal distribution has a mean of 0 and a SD of 1?

<p>Standard Normal Distribution</p> Signup and view all the answers

What is the term for a range that estimates a population parameter with a specified probability?

<p>Confidence Interval</p> Signup and view all the answers

What statistical value measures the probability of observing data under the null hypothesis, indicating statistical significance?

<p>p-value</p> Signup and view all the answers

What does the area under the curve in a probability distribution represent?

<p>The probability of values within a specific range</p> Signup and view all the answers

What kind of distribution is asymmetrical and where data are not evenly distributed?

<p>Skewed distribution</p> Signup and view all the answers

What kind of skewed distribution has its tail extending to the left?

<p>Negatively Skewed</p> Signup and view all the answers

What is the term for the fraction of the population that falls within a specified range?

<p>Proportion</p> Signup and view all the answers

What is an IQ score?

<p>A standardized measure of intelligence with a mean of 100 and a standard deviation of 15</p> Signup and view all the answers

In a distribution, values that are significantly higher or lower than the mean are called what?

<p>Extreme scores</p> Signup and view all the answers

What are the regions in a distribution beyond a certain threshold known as?

<p>Tails of distribution</p> Signup and view all the answers

What is a resource used for finding z-scores and their corresponding probabilities?

<p>Look-up Table</p> Signup and view all the answers

What is the mean of all possible sample means from a given population?

<p>Sampling Distribution Mean</p> Signup and view all the answers

What does a 95% reference range represent in a normal distribution?

<p>The interval where 95% of the values lie</p> Signup and view all the answers

What refers to the calculation of the percentage of the population that falls between two specific score limits?

<p>Proportions between values</p> Signup and view all the answers

What is another term for a z-score, indicating relative position within a distribution?

<p>Standardized score</p> Signup and view all the answers

What type of distribution has its mean, median, and mode all equal?

<p>Symmetrical Distribution</p> Signup and view all the answers

What is a visual representation of the shape of a normal distribution?

<p>Bell Curve</p> Signup and view all the answers

What rule describes the percentage of data within 1, 2, and 3 standard deviations from the mean in a normal distribution?

<p>68-95-99.7 Rule</p> Signup and view all the answers

What is the method for estimating the population mean based on sample data?

<p>Confidence Interval Calculation</p> Signup and view all the answers

What is the range of values where the true population mean is likely to lie, for a specific confidence level?

<p>95% Confidence Interval (CI)</p> Signup and view all the answers

How is the standard error calculated in statistics?

<p>The standard deviation divided by the square root of the sample size</p> Signup and view all the answers

What is the average value calculated from sample data?

<p>Estimated Mean</p> Signup and view all the answers

What represents the number of standard deviations from the mean in a normal distribution?

<p>Z-score</p> Signup and view all the answers

What is the logarithm of the odds ratio for binary outcomes?

<p>Log Odds Ratio (OR)</p> Signup and view all the answers

In hypothesis testing , what assumption is made that there is no effect or association between groups?

<p>Null Hypothesis</p> Signup and view all the answers

What is the probability of observing the data under the null hypothesis, used in hypothesis testing?

<p>P-value</p> Signup and view all the answers

What ratio compares the probabilities of an event occurring between two groups?

<p>Risk Ratio</p> Signup and view all the answers

What ratio compares the odds of an event occurring between two groups?

<p>Odds Ratio</p> Signup and view all the answers

What is the term for the comparison of average values between two groups?

<p>Difference in Means</p> Signup and view all the answers

What ratio compares event rates between two groups?

<p>Rate Ratio</p> Signup and view all the answers

What is the difference in the probabilities of an event occurring between two groups?

<p>Risk Difference</p> Signup and view all the answers

What ratio is used to compare the hazard rates between two groups?

<p>Hazard Ratio</p> Signup and view all the answers

What refers to the degree of certainty in statistical estimates?

<p>Confidence Level</p> Signup and view all the answers

What is an estimate +/- 1.64 x SE used to express a 90% certainty in estimating a population parameter?

<p>90% Confidence Interval</p> Signup and view all the answers

What does a wider confidence intreval suggest?

<p>Higher confidence level but less precision</p> Signup and view all the answers

What is the actual value of a parameter in the population?

<p>True Population Parameter</p> Signup and view all the answers

What does statistical interpretation of a 95% CI suggest?

<p>95% of all confidence intervals derived from repeated samples are expected to contain the true parameter value</p> Signup and view all the answers

What is the process of drawing multiple samples to estimate population parameters?

<p>Repeated Sampling</p> Signup and view all the answers

What refers to the differences in sample estimates caused by random sampling?

<p>Sampling Variation</p> Signup and view all the answers

What refers to the difference between the means of two groups?

<p>Mean Difference</p> Signup and view all the answers

What measure quantifies the variability of sample means?

<p>Standard Error (SE)</p> Signup and view all the answers

What is the probability of observing extreme results in one direction in hypothesis testing?

<p>One-sided p-value</p> Signup and view all the answers

What is the assumption made in hypothesis testing that there is no effect between groups?

<p>Null Hypothesis (H0)</p> Signup and view all the answers

What is a standardized score that indicates how many standard errors a value is from the mean?

<p>Z-score</p> Signup and view all the answers

What is the PANSS Score?

<p>Positive and Negative Syndrome Scale for measuring psychiatric symptoms.</p> Signup and view all the answers

What does AUC represent in probability distributions?

<p>Area Under the Curve</p> Signup and view all the answers

What is the term used to describe a result that is unlikely to have occurred due to chance, often with a p-value < 0.05?

<p>Statistical Significance</p> Signup and view all the answers

What is a range of values that likely contains the true population parameter?

<p>Confidence Interval (CI)</p> Signup and view all the answers

What is the calculated difference between group means?

<p>Estimated Difference</p> Signup and view all the answers

What is the distribution of sample means from repeated sampling, used to infer population parameters?

<p>Sampling Distribution</p> Signup and view all the answers

What is a significant deviation from the null hypothesis, often indicating a statistically significant result?

<p>Extreme Departure</p> Signup and view all the answers

What is the likelihood that results occurred due to random variation, rather than a real effect?

<p>Probability of Chance</p> Signup and view all the answers

What indicates insufficient data to strongly reject the null hypothesis?

<p>Weak Evidence</p> Signup and view all the answers

What refers to the process of presenting findings in a statistically meaningful way, considering significance and context?

<p>Reporting Results</p> Signup and view all the answers

What is a clear expression of the treatment effect in research findings, often used in reporting results?

<p>Improvement Statement</p> Signup and view all the answers

What is the standard cutoff used for determining statistical significance in research, often set at 0.05?

<p>Threshold for Significance</p> Signup and view all the answers

What resource is used for finding critical values in statistical tests, often used for calculating confidence intervals?

<p>Look-up Table</p> Signup and view all the answers

What is the actual measured difference in study results, often used in comparing groups?

<p>Observed Difference</p> Signup and view all the answers

What is the understanding of the probability associated with the null hypothesis, crucial for interpreting the results?

<p>Interpretation of p-value</p> Signup and view all the answers

Flashcards

Population

Entire group being studied in research.

Sample

Subset of the population for analysis.

Sampling Variation

Differences in sample estimates from population.

Sampling Distribution

Distribution of sample means from repeated samples.

Signup and view all the flashcards

Standard Error (SE)

Estimates precision of sample mean relative to population.

Signup and view all the flashcards

Standard Deviation (SD)

Measures variability of individual observations around mean.

Signup and view all the flashcards

Confidence Interval

Range estimating true population parameter with certainty.

Signup and view all the flashcards

P Value

Probability of observing data under null hypothesis.

Signup and view all the flashcards

Normal Distribution

Symmetrical distribution where mean equals median.

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Sample Size (n)

Number of observations in a sample.

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Mean

Average value of a set of numbers.

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Dispersion

Extent to which values spread from the mean.

Signup and view all the flashcards

Hypothesis Testing

Procedure to determine if a hypothesis is true.

Signup and view all the flashcards

Frequentist Statistics

Approach based on frequency of events in sampling.

Signup and view all the flashcards

Inferential Statistics

Draws conclusions about populations based on samples.

Signup and view all the flashcards

Descriptive Statistics

Summarizes characteristics of a data set.

Signup and view all the flashcards

Power

Probability of correctly rejecting a false null hypothesis.

Signup and view all the flashcards

Statistical Tests

Procedures for making inferences about populations.

Signup and view all the flashcards

Variance

Average of squared deviations from the mean.

Signup and view all the flashcards

Sampling Distribution of the Mean

Distribution of means from multiple samples.

Signup and view all the flashcards

Mean of the Means

True population mean estimated from sample means.

Signup and view all the flashcards

Normal Distribution

A probability distribution that is symmetrical and bell-shaped.

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Gaussian Distribution

Another name for the normal distribution.

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Standard Deviation (SD)

Measure of data dispersion around the mean.

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Central Limit Theorem

Sampling distribution of the mean approaches normality.

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Z Score

Standardized score indicating distance from the mean.

Signup and view all the flashcards

Standard Normal Distribution

Normal distribution with mean 0 and SD 1.

Signup and view all the flashcards

Confidence Interval

Range estimating population parameter with specified probability.

Signup and view all the flashcards

P Value

Probability measure indicating statistical significance.

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Area Under the Curve

Represents probability of values within a range.

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Skewed Distribution

Asymmetrical distribution where data is not evenly distributed.

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Negatively Skewed

Distribution tail extends to the left.

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Positively Skewed

Distribution tail extends to the right.

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Proportion

Fraction of the population within a specified range.

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IQ Score

Standardized measure of intelligence, mean 100, SD 15.

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Extreme Scores

Values significantly higher or lower than the mean.

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Tails of Distribution

Regions in a distribution beyond a certain threshold.

Signup and view all the flashcards

Look-Up Table

Resource for finding Z scores and corresponding probabilities.

Signup and view all the flashcards

Sampling Distribution Mean

Mean of all possible sample means from a population.

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95% Reference Range

Interval where 95% of values lie in normal distribution.

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Proportions Between Values

Calculating population percentage within two score limits.

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Standardized Score

Another term for Z score, indicating relative position.

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Symmetrical Distribution

Distribution where mean, median, and mode are equal.

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Bell Curve

Visual representation of the normal distribution shape.

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68-95-99.7 Rule

Percentage of data within 1, 2, and 3 SDs.

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Confidence Interval Calculation

Method to estimate population mean based on sample data.

Signup and view all the flashcards

95% Confidence Interval (CI)

Range where true population mean likely lies.

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Standard Error (SE)

SD divided by square root of sample size.

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Estimated Mean

Average value calculated from sample data.

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Z-Score

Standard deviations from the mean in normal distribution.

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Log Odds Ratio (OR)

Logarithm of the odds ratio for binary outcomes.

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Null Hypothesis

Assumes no effect or association in population.

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P-Value

Probability of observing data under null hypothesis.

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Risk Ratio

Ratio of probabilities of an event occurring.

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Odds Ratio

Ratio of odds of an event occurring.

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Study Notes

Key Statistical Concepts

  • Population: The complete group being studied.
  • Sample: A subset of the population used for analysis.
  • Sampling Variation: Differences in sample estimates compared to the population.
  • Sampling Distribution: The distribution of sample means from repeated samples.
  • Standard Error (SE): The precision of the sample mean estimate relative to the population.
  • Standard Deviation (SD): Measures how spread out data points are from the mean.
  • Confidence Interval (CI): A range of values where the true population parameter is likely to fall.
  • P-value: The probability of observing data as extreme as, or more extreme than, the observed results, assuming the null hypothesis is true.
  • Normal Distribution: A symmetrical bell-shaped distribution where the mean, median, and mode are equal.
  • Sample Size (n): The number of observations in a sample.
  • Mean: The average value of a set of numbers.
  • Dispersion: The spread of data values around the mean.
  • Hypothesis Testing: A procedure used to determine if a hypothesis about a population is supported by the evidence from a sample.
  • Frequentist Statistics: An approach to statistics based on the frequency of events in repeated sampling.
  • Inferential Statistics: Statistics used to draw conclusions about populations based on samples.
  • Descriptive Statistics: Statistics used to summarize and describe data characteristics.
  • Power: The probability of correctly rejecting a false null hypothesis.
  • Statistical Tests: Procedures for making inferences about populations.
  • Variance: The average of the squared deviations of data points from the mean.
  • sMFQ: A questionnaire assessing depressive symptoms in youth.
  • Sampling Distribution of the Mean: Distribution of means from multiple samples.
  • Mean of the Means: The true population mean estimated from sample means.
  • Gaussian Distribution: Another name for the normal distribution.
  • Central Limit Theorem: The sampling distribution of the mean approaches a normal distribution as sample size increases.
  • Z-score: A standardized score indicating how many standard deviations a value is from the mean.
  • Standard Normal Distribution: A normal distribution with a mean of 0 and a standard deviation of 1.
  • Area Under the Curve (AUC): Represents the probability of values falling within a given range in a probability distribution.
  • Skewed Distribution: An asymmetrical distribution where data is not evenly distributed.
  • Negatively Skewed: A distribution with a tail extending to the left.
  • Positively Skewed: A distribution with a tail extending to the right.
  • Proportion: A fraction of a population within a specific range.
  • IQ Score: A standardized measure of intelligence with a mean of 100 and a standard deviation of 15.
  • Extreme Scores: Values significantly higher or lower than the mean.
  • Tails of Distribution: Regions in a distribution beyond a specific threshold.
  • Look-up Table: A resource for finding Z-scores and probabilities.
  • Sampling Distribution Mean: The mean of all possible sample means from a population.
  • 95% Reference Range: The interval containing 95% of values in a normal distribution.
  • Proportions Between Values: Calculating the percentage of a population within specific limits or ranges.
  • Standardized Score: Another term for a Z-score, indicating relative position.
  • 68-95-99.7 Rule: Empirical rule for percentages of data points within 1, 2, and 3 standard deviations of the mean.
  • Confidence Interval Calculation: The method of estimating the population mean based on sample data.
  • 95% Confidence Interval (CI): A range where the true population mean is likely to fall with 95% certainty.
  • Standard Error calculation: SD divided by the square root of sample size (n).
  • Estimated Mean: The average calculated from sample data.
  • Log Odds Ratio (OR): Logarithm of the odds ratio for binary outcomes.
  • Null Hypothesis: An assumption that there is no effect or association in the population.
  • Risk Ratio: Ratio of probabilities of an event occurring.
  • Odds Ratio: Ratio of odds of an event occurring.
  • Difference in Means: Comparison of average values between two groups.
  • Rate Ratio: Ratio of event rates between two groups.
  • Risk Difference: Difference in probabilities of an event occurring.
  • Hazard Ratio: Ratio of hazard rates between two groups.
  • Confidence Level: Degree of certainty in statistical estimates.
  • 90% Confidence Interval calculation: Estimate +/- 1.64 x standard error.
  • 99% Confidence Interval calculation: Estimate +/- 2.58 x standard error.

Statistical Concepts (Significance Determination)

  • Wider Confidence Interval: A wider interval results from a higher confidence level, reducing precision.
  • True Population Parameter: The actual value of a parameter in the population.
  • Statistical Interpretation: 95% of CIs include the true parameter value.
  • Repeated Sampling: Drawing multiple samples to estimate population parameters.
  • Sampling Variation: Differences in sample estimates due to random sampling.
  • Mean Difference: Difference between two group means.
  • Standard Error (SE): Measure of variability in sample means.
  • One-sided p-value: Probability of observing extreme results in one direction.
  • Two-sided p-value: Probability considering both directions of extreme results.
  • Null Hypothesis (H0): Assumption of no effect between groups.
  • PANSS Score: Positive and Negative Syndrome Scale for psychiatric symptoms.
  • Statistical Significance: A result is unlikely due to chance if p < 0.05.
  • Confidence Interval (CI): A range that likely contains the true parameter value.
  • Estimated Difference: Calculated difference between group means.
  • Extreme Departure: Significant deviation from the null hypothesis.
  • Probability of Chance: The likelihood that results occurred due to random variation.
  • Weak Evidence: Insufficient data to strongly reject the null hypothesis.
  • Reporting Results: Presenting findings with statistical context and significance.
  • Improvement Statement: Clear expression of treatment effect in findings.
  • Threshold for Significance: Standard cutoff for determining statistical significance.
  • Observed Difference: Actual measured difference in study results.
  • Interpretation of p-value: Understanding the probability related to the null hypothesis.

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Test your knowledge on essential statistical concepts such as population, sample, and standard deviation. This quiz explores terms like confidence interval and p-value, crucial for understanding data analysis. Perfect for students and enthusiasts in statistics.

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