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Experimental Design and ANOVA

MediumStatistics17 chapters

Master experimental design and validity controls, then apply ANOVA, regression, mixed models, and logistic regression through hands-on SPSS data analysis.

What This Course Covers

Experimental Design and ANOVA is structured into 17 chapters that build on each other progressively:

Chapter 1: Foundations of Scientific Inquiry▼
Chapter 2: Measurement, Operationalization, and Variable Roles▼
Chapter 3: Experimental Control: Validity, Randomization, and Blinding▼
Chapter 4: Exploratory Data Analysis▼
Chapter 5: Practical Data Management and EDA in SPSS▼
Chapter 6: Probability and Sampling▼
Chapter 7: Two-Group Inference▼
Chapter 8: One-way ANOVA▼
Chapter 9: Planned and Post-Hoc Contrasts▼
Chapter 10: Two-Way ANOVA▼
Chapter 11: Simple Linear Regression▼
Chapter 12: Analysis of Covariance (ANCOVA)▼
Chapter 13: Statistical Power and Sample Size▼
Chapter 14: Within-Subjects Designs▼
Chapter 15: Linear Mixed Models▼
Chapter 16: Chi-Square and Logistic Regression▼
Chapter 17: Advanced Modeling Horizons▼

Each chapter combines interactive AI tutoring with hands-on examples. After you learn the material, Lambdio's spaced repetition algorithm schedules review sessions at optimal intervals — so you retain concepts and techniques long-term.

How to Study Experimental Design and ANOVA on Lambdio

Lambdio's AI-powered platform adapts to how Statistics courses are best learned. Here's our recommended approach:

Learning Mode
Standard Mode — for first-time learning of each chapter
Review Modes
Standard, Quiz — for spaced repetition reviews
Learning Priority
High Priority — controls how often the algorithm schedules reviews

Experimental Design and ANOVA is a procedural, decision-heavy subject. Each chapter asks you to recognize which design or test applies, verify a specific list of assumptions, and interpret output correctly — choosing between a t-test and a one-way ANOVA, testing an interaction before reading main effects, checking homogeneity of slopes before interpreting an ANCOVA, or deciding whether a sphericity correction is needed. That kind of conditional, step-by-step reasoning is best acquired through Standard Mode, which explains the logic directly, works through examples, and checks comprehension, because Socratic questioning would be a slow route to procedures that depend on precise rules and named criteria. High priority suits the course's cumulative structure and its Medium difficulty curve: ANOVA builds on two-group inference, ANCOVA builds on both ANOVA and regression, and mixed models build on repeated measures, so a lapse in an early idea such as between- versus within-groups variance quietly undermines later chapters. A frequent review schedule keeps the METS power levers, the family-wise error corrections, and the coding rules for dummy variables available exactly when a later topic depends on them. Pair Standard review with Quiz Mode for fast check-ins on which test fits which design, what each assumption violation looks like, and how to read an odds ratio or an F-statistic - ideal preparation for a design-and-analysis exam or a thesis project. Your experiment only gets one chance to be run correctly, so imagine designing it alongside an AI tutor that stress-tests your confounds, randomization, and power before you collect a single data point, then walks you through the ANOVA that answers your question.

Interactive Quiz

Test your knowledge with these sample questions from the course. Tap an answer to see if you're right:

Q1: In a two-way ANOVA, a statistically significant interaction between two factors means that:
Q2: Why is the within-groups mean square in a one-way ANOVA described as a 'pure' estimate of the error variance?
Q3: What is the primary reason for including a covariate in an ANCOVA?
Q4: A logistic regression coefficient of 0.70 corresponds to an odds ratio of about 2.0. What does this mean?
Q5: Which correction is specifically designed for comparing several treatment groups against a single control group?
Q6: What does the assumption of sphericity require in a within-subjects design?
Q7: In a chi-square test of independence, the large-sample approximation for the p-value is generally considered reliable when:

What You'll Be Able to Do After This Course

  • ✓Frame a research question within the iterative cycle of scientific inquiry and distinguish evidence from randomized experiments, observational studies, and anecdote
  • ✓Operationalize abstract constructs into measurable variables and evaluate them for reliability, bias, and construct validity
  • ✓Design experiments that control internal and external validity threats using randomization, blocking, and blinding
  • ✓Conduct exploratory data analysis, choose robust summary statistics, and interpret histograms, boxplots, and quantile-normal plots correctly
  • ✓Manage and explore data in SPSS using variable definitions, compute and recode tools, descriptive procedures, and the Chart Builder
  • ✓Apply probability rules, recognize common distributions, and reason about sampling distributions and the central limit theorem
  • ✓Perform two-group inference with the independent-samples t-test, check its assumptions, and control Type I and Type II error rates
  • ✓Analyze multi-group data with one-way ANOVA, interpret the F-statistic and ANOVA table, and plan appropriate contrasts with proper error-rate control
  • ✓Model factorial experiments with two-way ANOVA, test interactions hierarchically, and conduct simple-effects analysis when interactions are present
  • ✓Fit simple linear regression models, test slope coefficients, evaluate fit, and diagnose and repair assumption violations with transformations
  • ✓Increase precision with ANCOVA by incorporating covariates, and verify the homogeneity-of-slopes assumption before interpreting treatment effects
  • ✓Determine sample sizes and evaluate statistical power using non-central distributions and subject-matter effect sizes
  • ✓Analyze repeated measures with within-subjects designs, account for carry-over and practice effects, and apply sphericity corrections
  • ✓Specify linear mixed models for hierarchical and longitudinal data, choosing fixed and random effects and comparing models with AIC and BIC
  • ✓Analyze categorical outcomes using contingency tables, chi-square tests, logistic regression, odds ratios, and goodness-of-fit assessment
  • ✓Recognize when to move beyond the core methods to generalized linear models, non-parametric tests, multivariate techniques, survival analysis, or Bayesian inference

Frequently Asked Questions

Do I need prior experience with SPSS?▼
What statistical background is required?▼
How long does it take to complete this course?▼
What software and tools do I need?▼
How is this course different from Regression Analysis with R?▼
How is this course different from Introduction to Statistics?▼

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