Descriptive and Inferential Statistics
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Questions and Answers

What statistical test is used to measure the relationship between two continuous variables?

  • T-test
  • Chi-Square Test
  • ANOVA
  • Pearson Correlation (correct)

In hypothesis testing with a p-value, when do you reject the null hypothesis?

  • When the p-value is less than the significance level (α) (correct)
  • When the p-value is equal to the significance level (α)
  • When the p-value is a large positive number
  • When the p-value is greater than the significance level (α)

What type of variables are examined using a Chi-Square test?

  • Ordinal variables
  • Interval variables
  • Continuous variables
  • Categorical variables (correct)

In the example of 'Family Structure and Academic Performance,' what type of variable is 'Family Structure'?

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

In the context of Pearson correlation, which of the following best describes the 'strength' of a linear relationship?

<p>How closely the data points cluster around a straight line (D)</p> Signup and view all the answers

What is the primary purpose of descriptive statistics?

<p>To describe a mass of data in a clear, concise, and informative way (B)</p> Signup and view all the answers

Which of the following is an example of descriptive statistics?

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

What is the focus of inferential statistics?

<p>Making generalizations from a sample to a population (B)</p> Signup and view all the answers

Which statistical test is used to compare two groups of data from one population?

<p>Dependent Sample T-test (C)</p> Signup and view all the answers

Which test would be appropriate, if you want to know the effect of something before and after treatment?

<p>Dependent Sample T-test (B)</p> Signup and view all the answers

If the p-value is less than the significance level (alpha), what decision should be made regarding the null hypothesis?

<p>Reject the null hypothesis (A)</p> Signup and view all the answers

Which statistical test is used to compare data from three or more groups?

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

In an independent samples t-test, what is being compared?

<p>Data from two unrelated groups (B)</p> Signup and view all the answers

Flashcards

eHealth Literacy

The ability to seek, understand, and use health information from electronic sources.

Pearson Correlation

A statistical measure assessing the strength and direction of the linear relationship between two continuous variables.

Chi-Square Test

A statistical test used to determine if there is a significant association between two categorical variables.

Null Hypothesis

A statement proposing no significant difference or relationship exists between variables, used as a starting point for testing.

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Significance Level (α)

Threshold set for determining whether a p-value indicates a significant result, commonly set at 0.05.

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Statistics

A mathematical science for collecting, organizing, and analyzing data.

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Descriptive Statistics

Methods used to summarize and describe the characteristics of data.

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Inferential Statistics

Methods for making predictions or generalizations from a sample to a larger population.

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Mean

The average value calculated by adding all data points and dividing by the number of points.

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Dependent Sample T-Test

Compares two groups from the same population to assess significant effects.

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Independent Sample T-Test

Compares two different groups to determine significant differences in their means.

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Analysis of Variance (ANOVA)

Compares means across three or more groups to find significant differences.

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Parametric Tests

Statistical tests that assume normality and require certain data conditions.

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Study Notes

Basic Statistics

  • Statistics is a mathematical science focused on collecting, organizing, and analyzing data to draw meaningful conclusions.

Two Categories of Statistics

  • Descriptive Statistics: Summarize and describe a large dataset in a clear, concise, and informative manner. Examples include mean, median, mode, range, standard deviation, and variance.

  • Inferential Statistics: Aims to make generalizations about a larger dataset based on a smaller sample. Techniques include parametric tests like T-tests and ANOVA, correlation, and more.

Descriptive Statistics

  • Mean: The average of a dataset.
  • Median: The middle value in a sorted dataset.
  • Mode: The most frequent value in a dataset.
  • Range: The difference between the maximum and minimum values.
  • Standard Deviation: A measure of the data's dispersion from the mean.
  • Variance: The average of the squared differences from the mean.

Inferential Statistics

  • Parametric Tests: T-tests, ANOVA (Analysis of Variance)
  • Correlation: Measures the relationship between two continuous variables (e.g., Pearson correlation).

Likert Scale Interpretation

  • Strongly Disagree: 1.00 - 1.80
  • Disagree: 1.81 - 2.60
  • Neutral/Uncertain: 2.61 - 3.40
  • Agree: 3.41 - 4.20
  • Strongly Agree: 4.21 - 5.00

Data Assumptions for Parametric Analysis

  • Parametric tests require data to meet certain assumptions (normality, absence of outliers) for valid results.

Dependent Sample T-test

  • Used to compare two different groups from a single population, to see if there's a significant difference between those groups.

Independent Sample T-test

  • Used to compare data from two different groups to see if there's a significant difference between them.

Analysis of Variance (ANOVA)

  • Used to compare three or more groups, to see if there's a significant difference between them.

Pearson Correlation

  • Measures the strength and direction of a linear relationship between two continuous variables. Values range from -1.00 to 1.00; 0 represents no linear relationship.

Chi-Square Test

  • Used to determine association between two categorical variables.

Research Questions

  • Demographic Profile: Age, sex, and general average during Grade 11 of respondents.
  • Academic Procrastination: Levels of academic procrastination for Grade 12 STEM students related to deadlines, assignments/activities, and upcoming exams.
  • Procrastination & Gender: Any differences in academic procrastination levels related to gender (male/female).
  • Correlation of Procrastination & Performance: A correlation between academic procrastination and academic performance.

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Related Documents

Basic Statistics PDF

Description

Explore the basics of statistics, focusing on the differences between descriptive and inferential statistics. Learn about key descriptive measures such as mean, median, mode, range and standard deviation. Also, get an overview of inferential statistics and parametric tests.

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