Overload List
| # | Signature | Description |
|---|---|---|
| 1 | function SignTest(const Data1: TVec; Data2: TVec; out hRes: THypothesisResult; out Signif: Double; var ConfInt: TDoubleArray; const hType: THypothesisType; const Alpha: Double): Double; | Performs paired Sign test. The routine tests the null hypothesis that Data1 and Data2 have equal median value. |
| 2 | function SignTest(const Data: TVec; Median: Double; out hRes: THypothesisResult; out Signif: Double; var ConfInt: TDoubleArray; const hType: THypothesisType; const Alpha: Double): Double; | One or two-sample Sign test. |
Overload 1: function SignTest(const Data1: TVec; Data2: TVec; out hRes: THypothesisResult; out Signif: Double; var ConfInt: TDoubleArray; const hType: THypothesisType; const Alpha: Double): Double;
Performs paired Sign test. The routine tests the null hypothesis that Data1 and Data2 have equal median value.
| # | Name | Description |
|---|---|---|
| 1 | Data1 | First set of data from which to compute the median. |
| 2 | Data2 | Second set of data from which to compute the median. |
| 3 | hRes | Returns the result of the null hypothesis (default assumption is that the means are equal). |
| 4 | hType | Defines the type of the null hypothesis (left, right and two - tailed). |
| 5 | Signif | (Significance level) returns the probability of observing the given result by chance given that the null hypothesis is true. |
| 6 | ConfInt | Returns the 100*(1-Alpha) percent confidence interval for the mean. |
| 7 | Alpha | Defines the desired significance level. If the significance probability (Signif) is bellow the desired significance (Alpha), the null hypothesis is rejected. |
Returns: Double - The Sign test statistics.
See Also: Statistics.WilcoxonSign
Overload 2: function SignTest(const Data: TVec; Median: Double; out hRes: THypothesisResult; out Signif: Double; var ConfInt: TDoubleArray; const hType: THypothesisType; const Alpha: Double): Double;
One or two-sample Sign test.
| # | Name | Type | Description |
|---|---|---|---|
| 1 | Data | TVec | |
| 2 | Median | Double | scalar |
| 3 | hRes | THypothesisResult | |
| 4 | Signif | Double | |
| 5 | ConfInt | TDoubleArray | |
| 6 | hType | THypothesisType | |
| 7 | Alpha | Double |
Returns: Double
Remarks:
Performs one-sample Sign test by comparing Data median value with given Median. The null hypothesis is that Data median is equal to Median. Additional assumption is that underlying population is continuous.
Examples
Uses MtxExpr, Math387, Statistics;
procedure Example;
var d1,d2: Vector;
SignRes : double;
HypRes : THypothesisResult;
begin
d1.SetIt(false,[1,4,5,6,7,12]);
d2.SetIt(false,[3,3.5,2,3.1,10,9]);
SignTest(d1, d2, SignRes, HypRes); // SignRes = 0.6875; HypRes = hrNotReject
// Since the SignRes is greater than Alpha (0.05), the
// null hypothesis that two medians are equal is not rejected
end;