calc_K

Calculates K, the number of districts

internal

Estimates power, minimum detectable effect size (MDES) and sample size requirements. The context is multilevel randomized experiments with multiple outcomes. The estimation takes into account the use of multiple testing procedures. Development of this package was supported by a grant from the Institute of Education Sciences (R305D170030). For a full package description, including a detailed technical appendix, see <doi:10.18637/jss.v108.i06>.

Luke Miratrix

PUMP

Power Under Multiplicity Project

Kristen Hunter

Zarni Htet

Kristin Porter

MDRC 

Institute of Education Sciences 

calc_K function

<dl><dt>d_m</dt>
<dd>a single RCT d_m (see list/naming convention)</dd>
<dt>MT</dt>
<dd>multiplier</dd>
<dt>MDES</dt>
<dd>scalar; the MDES value for all outcomes</dd>
<dt>J</dt>
<dd>scalar; the number of schools</dd>
<dt>nbar</dt>
<dd>scalar; the harmonic mean of the number of units per school</dd>
<dt>Tbar</dt>
<dd>scalar; the proportion of samples that
are assigned to the treatment</dd>
<dt>R2.1</dt>
<dd>scalar, or vector of length M;
percent of variation explained by Level 1 covariates for each outcome</dd>
<dt>R2.2</dt>
<dd>scalar, or vector of length M;
percent of variation explained by Level 2 covariates for each outcome</dd>
<dt>R2.3</dt>
<dd>scalar, or vector of length M;
percent of variation explained by Level 3 covariates for each outcome</dd>
<dt>ICC.2</dt>
<dd>scalar; school intraclass correlation</dd>
<dt>ICC.3</dt>
<dd>scalar; district intraclass correlation</dd>
<dt>omega.2</dt>
<dd>scalar; ratio of school effect
size variability to random effects
 variability</dd>
<dt>omega.3</dt>
<dd>scalar; ratio of district
effect size variability to random effects
 variability</dd></dl>

Arguments

Calculates K, the number of districts — calc_K

<dl>

<dt>d_m</dt>
<dd>a single RCT d_m (see list/naming convention)</dd>


<dt>MT</dt>
<dd>multiplier</dd>


<dt>MDES</dt>
<dd>scalar; the MDES value for all outcomes</dd>


<dt>J</dt>
<dd>scalar; the number of schools</dd>


<dt>nbar</dt>
<dd>scalar; the harmonic mean of the number of units per school</dd>


<dt>Tbar</dt>
<dd>scalar; the proportion of samples that
are assigned to the treatment</dd>


<dt>R2.1</dt>
<dd>scalar, or vector of length M;
percent of variation explained by Level 1 covariates for each outcome</dd>


<dt>R2.2</dt>
<dd>scalar, or vector of length M;
percent of variation explained by Level 2 covariates for each outcome</dd>


<dt>R2.3</dt>
<dd>scalar, or vector of length M;
percent of variation explained by Level 3 covariates for each outcome</dd>


<dt>ICC.2</dt>
<dd>scalar; school intraclass correlation</dd>


<dt>ICC.3</dt>
<dd>scalar; district intraclass correlation</dd>


<dt>omega.2</dt>
<dd>scalar; ratio of school effect
size variability to random effects
 variability</dd>


<dt>omega.3</dt>
<dd>scalar; ratio of district
effect size variability to random effects
 variability</dd>

</dl>

calc_K: Calculates K, the number of districts

Description

Usage

Value

Arguments