D3) What means independent and identically distributed (iid)?

A1) Mutually Exclusive vs Independent Events

A2) Conditional Probability Formula for Independent Events

A3) Law of Large Numbers (LLN)

A4) If you test positive for cancer, what is the probability that you in fact has cancer?

A5) Are Disjoint Events Independent?

B1) What is a Random Variable?

B2) Expected Value of a Random Variable

B3) Random Variable: Variance and Standard Deviation

B4) Prove that E(cX) = cE(X)

B5) Prove that Var(cX)=ccVar(X)

B6) Var(X)=E(X^2)-[E(X)]^2

B7) Bernoulli Random Variable

C1) Random Variables: Mean and Standard Deviation

C2) Covariance vs Variance

C3) Correlation vs Covariance

C4) Cov(X,Y)=E(XY)-E(X)E(Y)

C5) If X and Y are independent, then Cov(X,Y)=0

C6) Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y)

D1) Standard Normal Distribution

D2) What is z-score?

D3) What means independent and identically distributed (iid)?

D4) Central Limit Theorem (CLT)

E1) Population Parameter vs Sample Statistic

E2) Standard Error of the Mean

E3) Random Sample

E4) Unbiased Estimator

F1) 95% Confidence Interval for Proportion (p)

F2) Normal vs Student’s t-distribution

F3) Confidence Interval for a Population Mean

F4) Margin of Error

G1) Null vs Alternative Hypothesis

G2) Type I vs Type II Errors

G3) Z-test for a Proportion

G4) T-test for the Mean

H1) Randomized Experiment

H2) Two-Sample t-Test in Python

H3) Two-Sample z-Test in Python

[fayezsalame]

I don't remembering learning about iid before but the video offers a good explanation of the subject. It is relatively simple to understand unlike other terms and issues that we are covering. Although it may sound silly, I do understand how many people might get confused and forget to square root 'n' for the SD.

[antonyjacob]

Having never learned about IID this was a good overall view of the subject. I am going to further watch more videos to understand it thoroughly.

[WorldWideSkboarding]

Are these features also valid for continuous random variables? also, do u want to tutor me for my financial econometrics class for money? (we use Springers, "Finance & Statistics an introduction" using SAS but the code isn't important.. only interpreting the output is in this class)

[KMFAclan]

Is there some sort of method or test to check that sampling is IID for non-time-series data or are you just suppose to determine this on your own?

[hashwi]

So I'm a bit confused on the iid does this mean that when we look at a graph of somethings all values will be same, or is more like if we were to roll a dice there will always be 1/6 chance of it landing on 2.

[rajdeepkaur]

If a variable is identically distributed (iid), does this mean that the percent change in the value of a stock will be constant over time? If not, how can you use the percent change of the value to predict the change?

[farahkaddoura]

what if we were given X1∼N(μx, #), do we square the #? or would the # be the variance?

[danielamoreno]

On the book we see that Var (2X) =4 σ^2. But wouldn't that mean that n=2 so, Var(2x) should equal 2σ^2?

[behgihbezzi]

How can you tell if two random variables are independent?

[mitchellcarter]

Why isn't SD= √nσ^2x and just √nσx?