Statistics and Probability

0.0(0)
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/62

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

63 Terms

1
New cards

Sample Space

A collection of all possible outcomes of a random experiment.

2
New cards

Sample Size

The number of observations or individuals in a sample selected from a larger population.

3
New cards

Discrete Random Variables

A random variable that has either a finite or countable number of values.

4
New cards

Continuous Random Variables

A variable that has infinitely many values.

5
New cards

Sampling Methods

Different techniques used to select samples from a population, including simple, convenience, systematic, quota, and stratified sampling.

6
New cards

Grouped Frequency Distributions

Data grouped into intervals or classes instead of listing each individual data point.

7
New cards

Cumulative Frequency

The running total of frequencies in a frequency distribution.

8
New cards

Cumulative Frequency Curve

A graphical representation of cumulative frequencies.

9
New cards

Correlation

Measures the relationship between two variables and the strength and direction of their association.

10
New cards

Regression

Helps in understanding and modeling the relationship between a dependent variable and one or more independent variables.

11
New cards

Probability Basics

Fundamental rules and concepts in probability theory, including the addition rule, multiplication rule, and complement rule.

12
New cards

Discrete Random Variables (DRVs)

Random variables assigned a probability in random experiments with a finite or countable number of values.

13
New cards

Binomial Distribution

Applies to events that can be described as a "success" or "failure" with a fixed number of trials and a constant probability of success.

14
New cards

Normal Distribution

A bell-shaped probability distribution characterized by its mean and standard deviation.

15
New cards

X on Y Regression

Another way of describing a linear regression.

16
New cards

Conditional Independence

The independence of two random variables given the value of a third random variable.

17
New cards

Normal Standardization

The process of standardizing data to have a mean of 0 and a standard deviation of 1.

18
New cards

Bayes' Theorem

Describes how to update the probability of a hypothesis based on new evidence.

19
New cards

Continuous Random Variables (CRVs)

Random variables that can take on any value within a certain range or interval.

20
New cards

Statistics

A branch of mathematics that involves analyzing and interpreting data.

21
New cards

Mean

The average of a population, calculated by summing all values and dividing by the number of values.

22
New cards

Median

The middle value in a dataset when arranged in ascending or descending order.

23
New cards

Mode

The value that occurs most frequently in a dataset.

24
New cards

Range

The difference between the highest and lowest data values.

25
New cards

Probability

The likelihood of an event occurring, often measured numerically.

26
New cards

Random Experiment

An experiment in which the outcome cannot be determined beforehand.

27
New cards

Trial

An action in a random experiment.

28
New cards

Outcome

A possible result of a trial.

29
New cards

Event

A set of possible outcomes.

30
New cards

Multiplication Rule

Used to calculate the probability of both event A and event B occurring.

31
New cards

Frequency Distributions

A list of each category and the number of occurrences for each category of data.

32
New cards

Standard Deviation

Measures the deviation between scores and the mean, representing the average of differences between values and the mean.

33
New cards

Continuous Random Variables

A variable that has infinitely many values and can be plotted on a line in an uninterrupted fashion.

34
New cards

Binomial Distribution

A probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials.

35
New cards

Chi-Square

A statistical test that determines whether a set of observed values matches those expected under the applicable model.

36
New cards

Goodness of Fit

A statistical test that determines whether a set of observed values matches those expected under the applicable model.

37
New cards

Cumulative Frequency Distribution

A graph that displays the aggregate frequency of a category or the total number of observations that are less than or equal to the categories.

38
New cards

Cumulative Relative Frequency Distribution

A graph that displays the proportion or percentage of observations that are less than or equal to the categories of the discrete data.

39
New cards

Hypothesis Testing

An assumption about a population parameter that may or may not be true and is tested using sample data.

40
New cards

Alternative Hypothesis (H0)

The belief that a new drug has a different effect on average compared to a current drug or that the new drug is better on average than the current drug.

41
New cards

Null Hypothesis (H1)

The belief that there is no significant difference between two variables or that the population parameter is greater than or equal to a specific value.

42
New cards

Logic of Hypothesis

The process of either rejecting or failing to reject a hypothesis based on the evidence.

43
New cards

Left Tailed Test

A hypothesis test where the population mean is less than a specific value.

44
New cards

Right Tailed Test

A hypothesis test where the population mean is greater than a specific value.

45
New cards

One-Tailed Test

A hypothesis test that is either left or right-tailed.

46
New cards

Two-Tailed Test

A hypothesis test that has two critical values and can either reject or fail to reject the null hypothesis.

47
New cards

T-test

A statistical test used to determine if there is a significant difference between the means of two groups.

48
New cards

Z-Score

A measure of how many standard deviations an observation or data point is from the mean.

49
New cards

R-Value

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

50
New cards

Outlier

A data point whose value is significantly greater than or less than the other values.

51
New cards

Cluster

An isolated group of points in a graph.

52
New cards

Gap

A large space between data points in a graph.

53
New cards

Histograms

A graph that uses rectangles to represent the frequency or relative frequency of each class.

54
New cards

Stem and Leaf Plots

A graphical representation of quantitative data where the stem represents the leftmost digits and the leaf represents the rightmost digit.

55
New cards

Box and Whisker Plots

A graph that shows the dispersion of data using quartiles and outliers.

56
New cards

Pareto Chart

A bar graph where the bars are drawn in decreasing order of frequency or relative frequency.

57
New cards

Pie Chart

A circle divided into sectors where each sector represents a category of data.

58
New cards

Dot Plot

A graph where each observation is represented by a dot placed above the observation.

59
New cards

Time Series Plot

A graph that shows the measurement of a variable over time.

60
New cards

Ogive

A graph that represents the cumulative or cumulative relative frequency of a class.

61
New cards

Degree of Confidence or Confidence Level

The level of certainty or probability associated with a confidence interval.

62
New cards

Margin of Error

The maximum likely difference between the true population parameter and a sample estimate of that parameter.

63
New cards

Population Proportion

The proportion or percentage of individuals in a population that exhibits a certain characteristic or attribute of interest.