Results & Analysis

    Interpret simulation outputs using histograms, statistics, and sensitivity analysis.

    Histogram

    Each output generates a histogram showing how results are distributed across iterations. The x-axis shows possible values; the y-axis shows frequency.

    Insight badge

    A label above the histogram indicates the distribution shape (Normal-like, Right-skewed, Bimodal, etc.). This helps you quickly understand the characteristics of your output and whether it matches expectations.

    Statistics

    Mean

    Average of all outcomes.

    Median

    Middle value. Less sensitive to outliers.

    Std Dev

    Spread around the mean.

    Min/Max

    Observed extremes.

    P5/P95

    5th and 95th percentiles. 90% of outcomes fall within this range.

    P25/P75

    Interquartile range. Middle 50% of outcomes.

    Probability Calculator

    Answer questions like "What is the probability that profit exceeds $50,000?" or "What value do we exceed 90% of the time?"

    P(X > value)

    Probability of exceeding a threshold.

    P(X < value)

    Probability of falling below a threshold.

    Sensitivity Analysis

    Identify which inputs have the greatest impact on outputs using Spearman rank correlation.

    Tornado chart

    Horizontal bars show correlation strength between each input and the selected output. Longer bars indicate greater influence on results. Positive values (extending right) mean higher input values lead to higher output values, while negative values indicate inverse relationships.

    Interpretation

    A correlation of 0.8 indicates strong dependence—changes in that input significantly affect the output. Values near 0 suggest minimal influence, meaning you can treat that input as less critical. Use this analysis to focus refinement efforts on the variables that matter most.

    Time Series Charts

    Time Series blocks generate additional visualizations showing how values evolve over time.

    Fan Chart

    Confidence bands (P5, P25, P50, P75, P95) across time periods. Band width indicates uncertainty.

    Probability Chart

    Probability of exceeding a target at each time step. Track goal achievement over time.

    Fan chart showing portfolio projections with confidence bands and goal line
    Fan chart with P5–P95 confidence bands and goal tracking

    Export

    Export results for further analysis or reporting.

    Excel (.xlsx)

    Formatted workbook with statistics and raw data.

    Complete Pack

    All data in CSV: samples, statistics, percentiles, histograms, sensitivity.

    Raw Samples

    Individual iteration results.

    Summary Stats

    Mean, median, std dev, and percentiles.

    Histogram Data

    Bin counts and frequencies.

    Sensitivity

    Correlation coefficients and rankings.

    Export menu with Excel and CSV options
    Export options for simulation results