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Module One: Exploring Data
: Analyzing patterns in scatterplots Correlation and linearity Least-squares regression line Residual plots, outliners, and influential points Transformations to achieve linearity: logarithmic and power transformations Exploring of categorical data: Frequency tables and bar charts Marginal and join..
: Analyzing patterns in scatterplots Correlation and linearity Least-squares regression line Residual plots, outliners, and influential points Transformations to achieve linearity: logarithmic and power transformations Exploring of categorical data: Frequency tables and bar charts Marginal and join..Module Four: Statistical Inference
>Confidence interval for a mean Confidence interval for a difference between two means (unpaired and paired) Confidence interval for the slope of a least-squares regression line Tests of significance: Logic of significance testing, null and alternative hypotheses; p-values; one and two-si..
>Confidence interval for a mean Confidence interval for a difference between two means (unpaired and paired) Confidence interval for the slope of a least-squares regression line Tests of significance: Logic of significance testing, null and alternative hypotheses; p-values; one and two-si..Module Three: Anticipating Patterns
Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distributions, including binomial and ..
Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distributions, including binomial and ..Module Two: Sampling and Experimentation
>Characteristics of a well-designed and well-conducted experiment Treatments, control groups, experimental units, random assignments, and replication Sources of bias and confounding, including placebo effect and blinding Completely randomized design Randomized block design, including matched pairs ..
Step 5:
If (x 1 , y 1 ) is the point found in step 4, then x = x 1 , y = y 1 , is the optimal solution of the LPP and Z = ax 1 + by 1 is the optimal value. The above method of solving an LPP is more clear with the following exampl..
Example 1:
Find the mean deviation from the mean for the given raw data 12,6,7,3,15,10,18,5..
Statistics Summary
Summary - There are two types of frequency distribution. (a) Inclusive (b) Exclusive In the inclusive type, the upper limit of one class does not coincide with the lower limit of the next class. In the exclusive type, the upper limit of one class coincides with the lower limit o..
Types of Events
S= {1,2,3,4,5,6}] If the event is set of elements less than 2, then E = {1} is a simple event 1) Simple Event: If an event has one element of the sample space then it is called a simple or elementary eve..
Example 2:
A pair of dice is thrown. If it is known that one die shows a 4, what is the probability that a) the other die shows a 5 b) the total of both the die is greater than..
Conditional Probability
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is t..
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is t.. Result
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