Package org.apache.commons.math3.distribution

Examples of org.apache.commons.math3.distribution.PoissonDistribution.cumulativeProbability()


        final AnovaStats a = anovaStats(categoryData);
        // No try-catch or advertised exception because args are valid
        // pass a null rng to avoid unneeded overhead as we will not sample from this distribution
        final FDistribution fdist = new FDistribution(null, a.dfbg, a.dfwg);
        return 1.0 - fdist.cumulativeProbability(a.F);

    }

    /**
     * Computes the ANOVA P-value for a collection of {@link SummaryStatistics}.
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               ConvergenceException, MaxCountExceededException {

        final AnovaStats a = anovaStats(categoryData, allowOneElementData);
        // pass a null rng to avoid unneeded overhead as we will not sample from this distribution
        final FDistribution fdist = new FDistribution(null, a.dfbg, a.dfwg);
        return 1.0 - fdist.cumulativeProbability(a.F);

    }

    /**
     * This method calls the method that actually does the calculations (except
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        throws NullArgumentException, DimensionMismatchException,
        ConvergenceException, MaxCountExceededException {

        AnovaStats a = anovaStats(categoryData);
        FDistribution fdist = new FDistribution(a.dfbg, a.dfwg);
        return 1.0 - fdist.cumulativeProbability(a.F);

    }

    /**
     * Performs an ANOVA test, evaluating the null hypothesis that there
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        ConvergenceException, MaxCountExceededException {

        AnovaStats a = anovaStats(categoryData);
        // No try-catch or advertised exception because args are valid
        FDistribution fdist = new FDistribution(a.dfbg, a.dfwg);
        return 1.0 - fdist.cumulativeProbability(a.F);

    }

    /**
     * Computes the ANOVA P-value for a collection of {@link SummaryStatistics}.
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        throws NullArgumentException, DimensionMismatchException,
               ConvergenceException, MaxCountExceededException {

        final AnovaStats a = anovaStats(categoryData, allowOneElementData);
        final FDistribution fdist = new FDistribution(a.dfbg, a.dfwg);
        return 1.0 - fdist.cumulativeProbability(a.F);

    }

    /**
     * This method calls the method that actually does the calculations (except
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        // No try-catch or advertised exception because args are valid
        // pass a null rng to avoid unneeded overhead as we will not sample from this distribution
        final NormalDistribution standardNormal = new NormalDistribution(null, 0, 1);

        return 2*standardNormal.cumulativeProbability(z);
    }

    /**
     * Returns the <i>observed significance level</i>, or <a href=
     * "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue">
 
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        // No try-catch or advertised exception because args are valid
        // pass a null rng to avoid unneeded overhead as we will not sample from this distribution
        final NormalDistribution standardNormal = new NormalDistribution(null, 0, 1);

        return 2 * standardNormal.cumulativeProbability(z);
    }

    /**
     * Returns the asymptotic <i>observed significance level</i>, or <a href=
     * "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue">
 
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        final double z = (Umin - EU) / FastMath.sqrt(VarU);

        final NormalDistribution standardNormal = new NormalDistribution(0, 1);

        return 2 * standardNormal.cumulativeProbability(z);
    }

    /**
     * Returns the asymptotic <i>observed significance level</i>, or <a href=
     * "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue">
 
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        // - 0.5 is a continuity correction
        final double z = (Wmin - ES - 0.5) / FastMath.sqrt(VarS);

        final NormalDistribution standardNormal = new NormalDistribution(0, 1);

        return 2*standardNormal.cumulativeProbability(z);
    }

    /**
     * Returns the <i>observed significance level</i>, or <a href=
     * "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue">
 
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         *  Start with upper and lower tail bins.
         *  Lower bin = [0, lower); Upper bin = [upper, +inf).
         */
        PoissonDistribution poissonDistribution = new PoissonDistribution(mean);
        int lower = 1;
        while (poissonDistribution.cumulativeProbability(lower - 1) * sampleSize < minExpectedCount) {
            lower++;
        }
        int upper = (int) (5 * mean)// Even for mean = 1, not much mass beyond 5
        while ((1 - poissonDistribution.cumulativeProbability(upper - 1)) * sampleSize < minExpectedCount) {
            upper--;
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