About This Chapter
ILTS Mathematics: Using Data to Make Predictions - Chapter Summary
Our text and video lessons can aid in your review for the Illinois Licensure Testing System (ILTS) Mathematics exam by helping you study how to statistically analyze data, test hypotheses and make logical conclusions. Each lesson is taught by a professional instructor and is mobile device compatible so you may have an effective and versatile way to review:
- How to draw meaningful and logical conclusions from experimental data
- Uses of statistical analysis to predict future trends
- Effects of frequency distributions on statistical analyses
- Differences between descriptive and inferential statistics
- Processes of hypothesis testing
- Importance of reliability and validity for data interpretation
- Definition and purpose of correlational research
After watching the lesson videos, read the transcripts for an additional review of the material. With these written overviews of the lessons, you will be able to fortify your retention of the information presented in them and study the vocabulary of the chapter. Our text lessons also have key terms and concepts designated in bold type. If you come across a topic that confuses you, ask our instructors for assistance through the 'teacher' tabs of the lessons.
1. Drawing Logical Conclusions from Experimental Data
Experimental results are what scientists like to share with each other, but it's important to understand what those data mean. We do this in the final step of the experimental process, when we draw meaningful conclusions from the results we obtained.
2. Statistical Analysis: Using Data to Find Trends and Examine Relationships
Many different organizations use statistical analysis to describe and analyze data and to predict future trends. Learn about the different types of statistics in this video lesson.
3. Normal Distribution of Data: Examples, Definition & Characteristics
In this lesson, we'll explore the normal distribution of data. Learn about the characteristics of normal distribution, how to plot histograms, the empirical rule, and more.
4. Binomial Distribution: Definition, Formula & Examples
You have a probability distribution to create, which one do you use? That depends. In this lesson, learn about binomial distributions, get examples and criteria for their use, and learn how to calculate the binomial distribution formula.
5. Descriptive & Inferential Statistics: Definition, Differences & Examples
Descriptive and inferential statistics each give different insights into the nature of the data gathered. One alone cannot give the whole picture. Together, they provide a powerful tool for both description and prediction.
6. Hypothesis Testing: Comparing the Null & Alternative Hypothesis
This lesson explores the process of comparing the null and the alternative hypothesis, as well as how to differentiate between the two after your testing is done.
7. Reliability & Validity in Psychology: Definitions & Differences
How do validity and reliability contribute to study design in psychology? In this lesson, you'll look at how experiments can fail reliability and validity requirements to get an idea of the challenges behind conducting significant psychological research.
8. Correlational Research: Definition, Purpose & Examples
This lesson explores, with the help of two examples, the basic idea of what a correlation is, the general purpose of using correlational research, and how a researcher might use it in a study.
9. Regression Analysis: Definition & Examples
Watch this video lesson to learn about regression analysis and how you can use it to help you analyze and better understand data that you receive from surveys or observations. Learn what is involved in regression analysis and what to look out for.
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Other chapters within the ILTS Mathematics (208): Test Practice and Study Guide course
- ILTS Mathematics: Concepts & Skills
- ILTS Mathematics: Logic & Reasoning
- ILTS Mathematics: Using Technology for Math
- ILTS Mathematics: Number Theory
- ILTS Mathematics: Solving Number Problems
- ILTS Mathematics: Real & Complex Numbers
- ILTS Mathematics: Measurement
- ILTS Mathematics: Multidimensional Objects
- ILTS Mathematics: Variables & Patterns
- ILTS Mathematics: Linear Relations & Functions
- ILTS Mathematics: Quadratic Relations & Functions
- ILTS Mathematics: Absolute Value
- ILTS Mathematics: Polynomials
- ILTS Mathematics: Radical Functions
- ILTS Mathematics: Rational Functions
- ILTS Mathematics: Exponential Functions
- ILTS Mathematics: Logarithmic Functions
- ILTS Mathematics: Trigonometric Functions
- ILTS Mathematics: Calculus
- ILTS Mathematics: Points, Lines, Planes & Space
- ILTS Mathematics: 2D & 3D Shapes
- ILTS Mathematics: Spatial Visualization
- ILTS Mathematics: Congruence, Similarity & Symmetry
- ILTS Mathematics: Probability Theory & Techniques
- ILTS Mathematics: Collecting & Representing Data
- ILTS Mathematics Flashcards