Z

zInterval

Catalogue >

zInterval s,List[,Freq[,CLevel]]

(Data list input)

zInterval s,v,n [,CLevel]

(Summary stats input)

Computes a z confidence interval. A summary of results is stored in the stat.results variable (here).

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.CLower, stat.CUpper

Confidence interval for an unknown population mean

stat.x

Sample mean of the data sequence from the normal random distribution

stat.ME

Margin of error

stat.sx

Sample standard deviation

stat.n

Length of the data sequence with sample mean

stat.s

Known population standard deviation for data sequence List

zInterval_1Prop

Catalogue >

zInterval_1Prop x,n [,CLevel]

Computes a one-proportion z confidence interval. A summary of results is stored in the stat.results variable (here).

x is a non-negative integer.

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.CLower, stat.CUpper

Confidence interval containing confidence level probability of distribution

stat.Ç

The calculated proportion of successes

stat.ME

Margin of error

stat.n

Number of samples in data sequence

zInterval_2Prop

Catalogue >

zInterval_2Prop x1,n1,x2,n2[,CLevel]

Computes a two-proportion z confidence interval. A summary of results is stored in the stat.results variable (here).

x1 and x2 are non-negative integers.

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.CLower, stat.CUpper

Confidence interval containing confidence level probability of distribution

stat.Ç Diff

The calculated difference between proportions

stat.ME

Margin of error

stat.Ç1

First sample proportion estimate

stat.Ç2

Second sample proportion estimate

stat.n1

Sample size in data sequence one

stat.n2

Sample size in data sequence two

zInterval_2Samp

Catalogue >

zInterval_2Samp s1,s2 ,List1,List2[,Freq1[,Freq2,[CLevel]]]

(Data list input)

zInterval_2Samp s1,s2,v1,n1,v2,n2[,CLevel]

(Summary stats input)

Computes a two-sample z confidence interval. A summary of results is stored in the stat.results variable (here).

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.CLower, stat.CUpper

Confidence interval containing confidence level probability of distribution

stat.x1-x2

Sample means of the data sequences from the normal random distribution

stat.ME

Margin of error

stat.x1, stat.x2

Sample means of the data sequences from the normal random distribution

stat.sx1, stat.sx2

Sample standard deviations for List 1 and List 2

stat.n1, stat.n2

Number of samples in data sequences

stat.r1, stat.r2

Known population standard deviations for data sequence List 1 and List 2

zTest

Catalogue >

zTest m0,s,List,[Freq[,Hypoth]]

(Data list input)

zTest m0,s,v,n[,Hypoth]

(Summary stats input)

Performs a z test with frequency freqlist. A summary of results is stored in the stat.results variable (here).

Test H0: m = m0, against one of the following:

For Ha: m < m0, set Hypoth<0

For Ha: m ƒ m0 (default), set Hypoth=0

For Ha: m > m0, set Hypoth>0

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.z

(x N m0) / (s / sqrt(n))

stat.P Value

Least probability at which the null hypothesis can be rejected

stat.x

Sample mean of the data sequence in List

stat.sx

Sample standard deviation of the data sequence. Only returned for Data input.

stat.n

Size of the sample

zTest_1Prop

Catalogue >

zTest_1Prop p0,x,n[,Hypoth]

Computes a one-proportion z test. A summary of results is stored in the stat.results variable (here).

x is a non-negative integer.

Test H0: p = p0 against one of the following:

For Ha: p > p0, set Hypoth>0

For Ha: p ƒ p0 (default), set Hypoth=0

For Ha: p < p0, set Hypoth<0

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.p0

Hypothesized population proportion

stat.z

Standard normal value computed for the proportion

stat.PVal

Smallest level of significance at which the null hypothesis can be rejected

stat.Ç

Estimated sample proportion

stat.n

Size of the sample

zTest_2Prop

Catalogue >

zTest_2Prop x1,n1,x2,n2[,Hypoth]

Computes a two-proportion z test. A summary of results is stored in the stat.results variable (here).

x1 and x2 are non-negative integers.

Test H0: p1 = p2, against one of the following:

For Ha: p1 > p2, set Hypoth>0

For Ha: p1 ƒ p2 (default), set Hypoth=0

For Ha: p < p0, set Hypoth<0

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.z

Standard normal value computed for the difference of proportions

stat.PVal

Smallest level of significance at which the null hypothesis can be rejected

stat.Ç1

First sample proportion estimate

stat.Ç2

Second sample proportion estimate

stat.Ç

Pooled sample proportion estimate

stat.n1, stat.n2

Number of samples taken in trials 1 and 2

zTest_2Samp

Catalogue >

zTest_2Samp s1,s2 ,List1,List2[,Freq1[,Freq2[,Hypoth]]]

(Data list input)

zTest_2Samp s1,s2,v1,n1,v2,n2[,Hypoth]

(Summary stats input)

Computes a two-sample z test. A summary of results is stored in the stat.results variable (here).

Test H0: m1 = m2, against one of the following:

For Ha: m1 < m2, set Hypoth<0

For Ha: m1 ƒ m2 (default), set Hypoth=0

For Ha: m1 > m2, Hypoth>0

For information on the effect of empty elements in a list, see “Empty (Void) Elements”, here.

 

Output variable

Description

stat.z

Standard normal value computed for the difference of means

stat.PVal

Smallest level of significance at which the null hypothesis can be rejected

stat.x1, stat.x2

Sample means of the data sequences in List1 and List2

stat.sx1, stat.sx2

Sample standard deviations of the data sequences in List1 and List2

stat.n1, stat.n2

Size of the samples