PARAMETERS Subcommand (POWER SPEARMAN ONESAMPLE command)

PARAMETERS controls the test assumptions. The keywords specify the sample size, power for sample size estimation, asymptotic variance, null hypothesis value of the correlation parameter, alternative hypothesis value of the correlation parameter, test direction, and the significance level of the type I error rate.

POWER = value(s)

Optional keyword that specifies the desired power level(s). There is no default. Multiple values can be specified with each value separated by a blank space (or blank spaces). A grid of power values from value1 to value2 with the increment of value3, connected by the keywords TO and BY, can also be specified. When a grid of power values is specified, only one valid set of [value1 TO value2 BY value3] is allowed. Value1 and value2 must satisfy the condition 0 < value1 ≤ value2 < 1. The case where value1 = value2 is equivalent to specifying a single value1, regardless of value3. In order to restrict the number of power values, value3 must satisfy the condition 0.01 ≤ value3 < 1. The grid can be mixed with other power values, and can be placed anywhere.

Notes:

• All specified values must be in the range [0,1].
• In cases where duplicate values are specified, only unique values are used, and a warning message is generated to indicate that all duplicate values are excluded from the analysis.

TEST = {NONDIRECTIONAL}{DIRECTIONAL}

An optional keyword that determines whether the test is one or two-sided. NONDIRECTIONAL, or a two-sided test, is the default setting. When DIRECTIONAL is specified, power is computed for a one-sided test.

Variance = {BW} {FHP} {CC}

An optional keyword that determines how the asymptotic variance is estimated for the power analysis. BW is the setting by default, which estimates the variance suggested

by Bonett and Wright. FHP and CC estimate the variance suggested by Fieller et al.,and Caruso and Cliff, respectively.

SIGNIFICANCE = value

An optional keyword that specifies the significance level of the Type I error rate for the test. The value must be a single double value ∈(0,1). The default level is 0.05.

N = integer

A required keyword that specifies the sample size. The value must be a single integer > 3 when VARIANCE = BW or FHP, and > 2 when VARIANCE = CC. N and POWER cannot be specified simultaneously.

NULL = value

An optional keyword that specifies the null hypothesis value of the correlation parameter. Must be a single numeric value ∈(-1,1). The default setting is 0.

ALTERNATIVE = value

A required keyword that specifies the alternative hypothesis value of the correlation parameter. Must be a single numeric value ∈(-1,1). When POWER is specified, the ALTERNATIVE value cannot be equal to the NULL value.