Taxonomy Distribution Report

Overview

• Total Concepts: 300
• Number of Taxonomies: 14
• Average Concepts per Taxonomy: 21.4

Distribution Summary

Category	TaxonomyID	Count	Percentage	Status
Univariate Analysis	EDA1	68	22.7%	✅
Foundations	FOUND	51	17.0%	✅
Study Design	STUDY	35	11.7%	✅
Regression	REG	30	10.0%	✅
Probability	PROB	24	8.0%	✅
HT for Proportions	HTPR	20	6.7%	✅
CI for Proportions	CIPR	17	5.7%	✅
Bivariate Analysis	EDA2	11	3.7%	✅
Chi-Square Tests	CHISQ	11	3.7%	✅
Random Variables	RAND	9	3.0%	✅
Sampling Distributions	SAMP	7	2.3%	ℹ️ Under
Communication	COMM	7	2.3%	ℹ️ Under
T-Procedures for Means	TMEA	6	2.0%	ℹ️ Under
Regression Inference	REGF	4	1.3%	ℹ️ Under

Visual Distribution

EDA1   ███████████  68 ( 22.7%)
FOUND  ████████  51 ( 17.0%)
STUDY  █████  35 ( 11.7%)
REG    █████  30 ( 10.0%)
PROB   ████  24 (  8.0%)
HTPR   ███  20 (  6.7%)
CIPR   ██  17 (  5.7%)
EDA2   █  11 (  3.7%)
CHISQ  █  11 (  3.7%)
RAND   █   9 (  3.0%)
SAMP   █   7 (  2.3%)
COMM   █   7 (  2.3%)
TMEA   █   6 (  2.0%)
REGF      4 (  1.3%)

Balance Analysis

✅ No Over-Represented Categories

All categories are under the 30% threshold. Good balance!

ℹ️ Under-Represented Categories (<3%)

• Sampling Distributions (SAMP): 7 concepts (2.3%)
• Note: Small categories are acceptable for specialized topics
• Communication (COMM): 7 concepts (2.3%)
• Note: Small categories are acceptable for specialized topics
• T-Procedures for Means (TMEA): 6 concepts (2.0%)
• Note: Small categories are acceptable for specialized topics
• Regression Inference (REGF): 4 concepts (1.3%)
• Note: Small categories are acceptable for specialized topics

Category Details

Univariate Analysis (EDA1)

Count: 68 concepts (22.7%)

Concepts:

• 1. Frequency Table
• 1. Relative Frequency
• 1. Cumulative Frequency
• 1. Bar Graph
• 1. Pie Chart
• 1. Dotplot
• 1. Stemplot
• 1. Histogram
• 1. Choosing Bin Width
• 1. Shape of Distribution
• 1. Symmetric Distribution
• 1. Skewed Left
• 1. Skewed Right
• 1. Unimodal Distribution
• 1. Bimodal Distribution
• ...and 53 more

Foundations (FOUND)

Count: 51 concepts (17.0%)

Concepts:

• 1. Statistics
• 1. Data
• 1. Variable
• 1. Observation
• 1. Dataset
• 1. Categorical Variable
• 1. Quantitative Variable
• 1. Discrete Variable
• 1. Continuous Variable
• 1. Population
• 1. Sample
• 1. Parameter
• 1. Statistic
• 1. Distribution
• 1. Parameters of Normal
• ...and 36 more

Study Design (STUDY)

Count: 35 concepts (11.7%)

Concepts:

• 1. Experiment
• 1. Comparing Studies
• 1. Experimental Units
• 1. Subjects
• 1. Treatment
• 1. Factor
• 1. Levels of a Factor
• 1. Placebo
• 1. Placebo Effect
• 1. Control Group
• 1. Comparison in Experiments
• 1. Blinding
• 1. Single-Blind Experiment
• 1. Double-Blind Experiment
• 1. Random Assignment
• ...and 20 more

Regression (REG)

Count: 30 concepts (10.0%)

Concepts:

• 1. Scatterplot
• 1. Describing Scatterplots
• 1. Linear Form
• 1. Nonlinear Form
• 1. Correlation Coefficient
• 1. Calculating Correlation
• 1. Properties of Correlation
• 1. Correlation Limitations
• 1. Least Squares Regression
• 1. Regression Line
• 1. Regression Equation
• 1. Slope Interpretation
• 1. Y-Intercept Interpretation
• 1. Making Predictions
• 1. Extrapolation Dangers
• ...and 15 more

Probability (PROB)

Count: 24 concepts (8.0%)

Concepts:

• 1. Random Phenomenon
• 1. Probability
• 1. Probability Rules
• 1. Event
• 1. Complement of Event
• 1. Mutually Exclusive Events
• 1. Disjoint Events
• 1. Independent Events
• 1. Dependent Events
• 1. Addition Rule
• 1. General Addition Rule
• 1. Multiplication Rule
• 1. General Multiplication Rule
• 1. Bayes Intuition
• 1. Tree Diagram
• ...and 9 more

HT for Proportions (HTPR)

Count: 20 concepts (6.7%)

Concepts:

• 1. Hypothesis Test
• 1. Null Hypothesis
• 1. Alternative Hypothesis
• 1. Writing Hypotheses
• 1. One-Sided Test
• 1. Two-Sided Test
• 1. P-Value
• 1. Calculating P-Values
• 1. Interpreting P-Values
• 1. Significance Level
• 1. Choosing Alpha
• 1. Making Conclusions
• 1. Type I Error
• 1. Type II Error
• 1. Error Tradeoffs
• ...and 5 more

CI for Proportions (CIPR)

Count: 17 concepts (5.7%)

Concepts:

• 1. Point Estimate
• 1. Interval Estimate
• 1. Confidence Interval
• 1. Margin of Error
• 1. Confidence Level
• 1. Interpreting Confidence
• 1. Critical Value
• 1. Z Critical Values
• 1. Standard Error
• 1. CI for One Proportion
• 1. Conditions for CI Proportion
• 1. Interpreting CI
• 1. CI for Difference in Props
• 1. Pooled Proportion
• 1. Test for One Proportion
• ...and 2 more

Bivariate Analysis (EDA2)

Count: 11 concepts (3.7%)

Concepts:

• 1. Two-Way Table
• 1. Calculating Conditionals
• 1. Association
• 1. Simpson's Paradox
• 1. Direction of Association
• 1. Positive Association
• 1. Negative Association
• 1. Form of Association
• 1. Strength of Association
• 1. Conditional Probability
• 1. Calculating Conditionals

Chi-Square Tests (CHISQ)

Count: 11 concepts (3.7%)

Concepts:

• 1. Goodness-of-Fit Test
• 1. GOF Hypotheses
• 1. Expected Counts
• 1. Observed Counts
• 1. Calculating Chi-Square
• 1. Conditions for Chi-Square
• 1. GOF Conclusion
• 1. Homogeneity Setup
• 1. Independence Setup
• 1. Chi-Square Conclusion
• 1. Independence Condition

Random Variables (RAND)

Count: 9 concepts (3.0%)

Concepts:

• 1. Expected Value
• 1. Calculating Expected Value
• 1. Linear Transformation
• 1. Difference of RVs
• 1. Binomial Setting
• 1. Binomial Conditions
• 1. Binomial Formula
• 1. Binomial Standard Dev
• 1. Geometric Setting

Sampling Distributions (SAMP)

Count: 7 concepts (2.3%)

Concepts:

• 1. Sampling Variability
• 1. Sampling Distribution
• 1. Sampling Dist of Proportion
• 1. Conditions for Proportion SD
• 1. Sampling Dist of Mean
• 1. Central Limit Theorem
• 1. CLT Conditions

Communication (COMM)

Count: 7 concepts (2.3%)

Concepts:

• 1. Stat vs Practical Sig
• 1. Effect Size
• 1. Study Limitations
• 1. Generalizability
• 1. Communicating Results
• 1. Four-Step Process
• 1. AP Exam Strategies

T-Procedures for Means (TMEA)

Count: 6 concepts (2.0%)

Concepts:

• 1. Degrees of Freedom
• 1. Conditions for T-Procedures
• 1. Pooled vs Unpooled
• 1. Paired T-Test
• 1. When to Pair
• 1. Robustness

Regression Inference (REGF)

Count: 4 concepts (1.3%)

Concepts:

• 1. Inference for Slope
• 1. T-Interval for Slope
• 1. T-Test for Slope
• 1. Linearity Condition

Recommendations

• ✅ Good balance: Categories are reasonably distributed (spread: 21.3%)
• ✅ MISC category minimal: Good categorization specificity

Educational Use Recommendations

• Use taxonomy categories for color-coding in graph visualizations
• Design curriculum modules based on taxonomy groupings
• Create filtered views for focused learning paths
• Use categories for assessment organization
• Enable navigation by topic area in interactive tools

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Report generated by learning-graph-reports/taxonomy_distribution.py