Inference Guidelines - Sayre School
Inference Guidelines
Confidence Interval = estimate ± (critical value)(standard deviation of estimate) [pic]
[pic]
|Name of Test |When to Use |Hypotheses |Estimate |Parameter |Standard Deviation |P-Value |Assumptions |
| | | | | |of estimate | | |
| | | |deg. freed. | | | | |
|1 sample z-test |Does a single mean = |[pic] |[pic]the |[pic], the | |For each Alt. Hyp. |SRS from pop of interest. |
|for a mean |A hypothesized value? | |sample |hypothesized |[pic] |P(Z < z) |Sigma known |
| | | |mean |mean | |P(Z > z) |Pop approx Normal |
| | | | | | |[pic] |(draw plot to check) |
| | | | | | | | |
| | | |NA | | | | |
|1 sample t-test |Does a single mean = |[pic] |[pic]the |[pic], the | |For each Alt. Hyp. |SRS from pop of interest. |
|for a mean |A hypothesized value? | |sample |hypothesized |[pic] |P(T < t) |Pop approx Normal |
| | | |mean |mean | |P(T > t) |(draw plot to check) |
| | | | | | |[pic] |If symm, no outliers: n t) |[pic] instead of n. |
| | | |smaller n minus| | |[pic] |(draw both boxplots) |
| | | |1 | | | | |
|2 prop z test |Compare 2 proportions |[pic] | | |CI: | |Ind SRS’s |
| | | | | |[pic] |[pic] |Normal: |
| | | |[pic] |0 |Test: | |CI: [pic] |
| | | | | |[pic] | |[pic] |
| | | | | | | |Test: [pic] |
| | | | | | | |[pic] |
| | | | | | | | |
| | | |NA | | | | |
|Matched Pairs t|2 samples paired by |[pic] | | | | |Same as 1-sample |
| |some characteristic. | |[pic] | |[pic] |P(T < t) |T-test, but n refers |
| |Compare 2 groups | | |0 | |P(T > t) |To number of pairs |
| |Not independent | |pairs - 1 | | |[pic] | |
|Linear |Test for slope of |[pic] | b | |[pic] | |Lin shape in scatter |
|Regression |Reg. Line. | |slope of LSRL | | |P(T < t) |variation of y-values |
|t-test |Test for assoc of 2 | | |0 | |P(T > t) |the same (resid plot) |
| |Quant. Var. | |n - 2 | | |[pic] |resids normal |
| | | | | | | |(boxplot) |
|Name of test |When to use |Hypotheses |P-Value |Assumptions |degrees of freedom |
|Chi-Square |pop dist of props |[pic] | |SRS |# of categories minus 1 |
|Good-Fit |= hypothesized |[pic]:Null incorrect |[pic] |All exp counts at least 1 | |
| |distribution | | |no more than 20% are less than 5 | |
|Chi-Square |test assoc of |Null: No association | |SRS or entire population |(rows-1)(columns-1) |
|for ind. or |categorical variables |Alt: Association |[pic] |All exp counts at least 1 | |
|homogeneity | | | |no more than 20% are less than 5, | |
| | | | |unless 2x2-> all at least 5. | |
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- rules of inference calculator
- short stories with inference questions
- inference rules logic
- rules of inference examples
- rules of inference steps
- rules of inference philosophy
- inference definition and examples
- guidelines for sunday school superintendents
- examples of inference vs conclusion
- rule of inference logic
- rules of inference list
- rules of inference pdf