Welcome to NSRL of the Museum at Texas Tech

In biological research, particularly in museum-based studies, statistics plays a central role in transforming raw observations into meaningful scientific knowledge. Museum collections and field data provide rich sources of information, ranging from species distributions and ecological patterns to variation in morphological traits across populations. Statistical methods enable researchers to organize, analyze, and interpret these data, uncovering patterns and relationships that would otherwise remain hidden.

This Shiny application is designed as an interactive learning and exploration tool that demonstrates how statistical thinking is applied in real biological and museum research. Through hands-on visualizations and guided examples, users can develop a deeper intuition for key statistical concepts and see how they directly support scientific discovery in the biological sciences.

This resource was developed by the Natural Science Research Laboratory of Museum at Texas Tech. Use the tap panel on the top or below to explore modules designed for High School Statistic Advanced Placement.

📊 Basic Statistics

Quantitative Data

Distribution

See differences in population distributions

Basic Statistics II

Categorical Data

📈 Linear Regression

See how two variables are related using a line

📊 Inference of Mean(s)

Draw conclusions based on population means

Inference of Proportion(s)

Draw conclusions based on population proportions

🎲 Probability

Likelihood of events

Module 8

Coming soon...

Module 9

Coming soon...

Module 01 Basic Statistics I: Quantitative Data

Build your understanding of essential statistical measures—sample size, mean, standard deviation, minimum, maximum, mode, median, and range—using real quantitative data.

Start by exploring the Module 01 PDF for a quick overview or download here. Then strengthen your learning with the interactive app below using provided or your own data!



Enter numbers using commas or one number per line.










Module 02 Data Distribution

Explore graphical representations of quantitative data to understand their distribution, shape, and variability.

Choose a population, then see what it looks like.





Adapted from code by ShinyEd
Module 03 Basic Statistics II: Qualitative Data

Build your understanding of essential statistical measures for qualitative (categorical) data, including frequencies and proportions (percentages).




📥 Enter name of category and counts


Options for Barplot


📥 Enter counts for each cell


Options for Barplot
Counts
Percent

Module 04 Linear Regression

Develop your understanding of linear regression by learning how relationships between variables are modeled, interpreted, and used for prediction.

Learn how the slope, intercept, and R² describe and evaluate these relationships.

Choose your source data


Enter two sets of numbers with the SAME length
Module 05 Inference of Means

Learn how to draw conclusions about population means using sample data.

This module includes three sections: one mean, two means, and paired means.


Enter numbers using commas or one number per line.
Null hypothesis: (Enter preferred μ₀ value)
\( H_0 : \mu = \)

A researcher plans to take a random sample of size n students to do a survey about their experience on the SAT math test. The researcher makes a confidence interval for the SAT math scores of the students in her study and compares it to the mean of 528 for the population of all seniors in the U.S. These data are about College Bound high school graduates in the year of 2019 who participated in the SAT Program. Students are counted only once, no matter how often they tested, and only their latest scores and most recent SAT Questionnaire responses are summarized.


The population chart shows the density of all SAT Math scores, N = 2,220,087 test takers. The poplation statistis are \(\mu=528\) and \(\sigma^2 = 117\). We've overlaid a smoothed density curve in black.

Hypothesis: \(H_0\!:\mu = 528\)

Click the analyze button to create 50 samples to see their confidence intervals and histograms.





Adapted from code by Antoine Soetewey


Adapted from code by EducationShinyAppTeam

Note: Differences are calculated as X1 − X2 . Positive values imply Group 1 ( X1 ) > Group 2 ( X2 ) .
Assuming
(Pooled t-test assumes equal variances; Welch does not.)
Null hypothesis: (Enter preferred \( \mu_1 - \mu_2 \) value)
\( H_0 : \mu_1 - \mu_2 = \)
A group of researchers want to sample a group of n male and n female students about their experiences with the SAT ERW (Evidence-Based Reading and Writing) test. Although the average SAT ERW score for females is 12 higher than for males, a critic believes their sampling technique would provide a sample of students with a mean (\\(\\mu\\)) that did not depend on sex (the null hypothesis). The researcher uses her samples to conduct a test of that null hypothesis and this test shows how that test would behave when the sampling is really unbiased and the females have a mean that is 12 higher.

Hypothesis :
\(H_0\!:\mu_{male} = \mu_{female} \)
There is no statistically significant difference between male and female performance on SAT ERW.

Population Information

Population difference in means is -12, Standard deviation for the difference in population means is 163.38

Click the analyze button to draw a new sample from the population





Adapted from code by Antoine Soetewey

Adapted from code by EducationShinyAppTeam



Note: Differences are calculated as Y − X . Positive values indicate Y is greater than X.

Null hypothesis: (Enter correct \( \mu_D \) value)
\( H_0 : \mu_D = \)






Adapted from code by Antoine Soetewey
Module 06 Inference of Proportions

Learn how to draw conclusions about population proportions using sample data.

This module includes two sections: one proportion and two proportions.


Sample size
Proportion of success
Number of successes

Null hypothesis: (Enter hypothesized population proportion)
\( H_0 : p = \)





Adapted from code by Antoine Soetewey

Sample size 1
Sample size 2
Proportion of success
Number of successes

Null hypothesis: (Enter the null value for the difference in proportions)
\( H_0 : p_1 - p_2 = \)





Adapted from code by Antoine Soetewey
Module 07 Probability

This module introduces the fundamentals of probability through simulation, allowing users to explore random events,

compare empirical and theoretical results, and understand key probability rules.





Click Simulate Sample to draw samples
Select events A and B, then click Analyze button to view questions and answers




Drawn Samples Dot Plot
Color Counts
Color Probabilities


Event A


Event B


Simulation Output


Probability Analysis


                      


Event A


Event B


Sample Visualization


Probability Rules


                      
Experience & Learning Survey
Please complete the survey below.



Q2. Which modules did you use? (Select all that apply)
Please select the modules you have used and rate your experience for each.







About Us

NSRL of Museum at Texas Tech University




Contact Us
For information about this app, please contact us at [your email or link here].




Release
March 2026 — Version 1.0
  • Initial release




[email@ttu.edu]   |   [2500 Broadway Lubbock, Texas 79409]   |   [806-742-2011]