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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Linear Independence: How To Determine If {V1, V2, V3} Is Linearly Independent

{v1, v2, v3} linearly independent if and only if span {v1, v2, v3} is 3D {v1, v2, v3} linearly independent if and only if the only solution...
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  • John Rhodes
  • June 21, 2023
  • Statistics

The Null Hypothesis For Hypothesis Testing In Statistics

A statement that a parameter has a certain value, written as H(0) Null hypothesis When conducting hypothesis testing, the null hypothesis (H0) represents the hypothesis of no...
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  • John Rhodes
  • June 21, 2023
  • Statistics

A Step-By-Step Guide To Hypothesis Testing In Inferential Statistics

A systematic procedure for deciding whether the results of a research study support a particular theory which applies to a population Hypothesis testing A systematic procedure for...
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  • John Rhodes
  • June 21, 2023
  • Statistics

Hypothesis Testing: Comparing Sample Values To Critical Values In T-Tests And Chi-Squared Tests

The value calculated from the sample which is used to perform the test The test statistic The value calculated from the sample which is used to perform...
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  • John Rhodes
  • June 21, 2023
  • Statistics

P-Values: Calculating The Evidence Against Null Hypothesis And For Alternative Hypothesis

-The probability that such an extreme test statistic occurs, assuming the null hypothesis is true-Found by comparing the test statistic to values from statistical tables P-value The...
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  • John Rhodes
  • June 21, 2023
  • Statistics

Hypothesis Testing: The Significance Of Null Hypothesis And Alternative Hypothesis In Comparing Populations Or Variables

No evidence against the null hypothesis: stick with it What’s the interpretation of a p-value greater than 10% When conducting a hypothesis test, the null hypothesis refers...
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  • John Rhodes
  • June 21, 2023
  • Statistics

Hypothesis Testing: Analyzing The Role Of Null Hypothesis And P-Value In Statistical Inference

Slight evidence against H(0), but not enough to reject it What’s the interpretation of a p-value between 5-10% In statistics, the null hypothesis (H(0)) is the default...
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  • John Rhodes
  • June 21, 2023
  • Statistics

Hypothesis Testing In Statistics – When To Reject The Null Hypothesis

Moderate evidence against H(0): reject it, and go with H(1) What’s the interpretation of a p-value between 1-5% In the field of statistics, hypotheses are assumptions that...
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