- Requirements -
modern web-browser with HTML and JavaScript support. The 3D view of the
bivariate distribution requires WebGL
support.
- See the SOCR Bivariate Normal Distribution Activity.
- Use the Settings to
initialize the web-app. To activate new input settings click outside the component.
- In the Control panel
you can select the appropriate bivariate limits for the X and Y
variables, choose desired Marginal or
Conditional probability
function, and view the 1D Normal Distribution graph. Use any
non-numerical character to specify infinity (∞).
- You can rotate the bivariate normal distribution in 3D by clicking and dragging on the graph.
- Probability Results
are reported in the bottom text area.
- This graphical bivariate Normal
probability calculator shows visually the correspondence between
the graphical area representation and the numeric (PDF/CDF) results.
However, the reported probabilities are approximate
(e.g., accuracy ~10-2) due to the finite
viewing window of the infinitely supported Normal distribution, the
limited numerical precision of the inputs (domain) and outputs (range),
numeric Cholesky decomposition calculation, and finite Monte Carlo simulation.
Users that require high-precision calculations are encouraged to
use the
SOCR high-precision numerical probability calculators.
The
BVN2 version
provides more accurate estimates of the Bivariate Normal Distribution
probability calculation and relies on the modern 3D Plotly visualization.
- The
SOCR Trivariate Normal (TVN) Probability Calculator
provides an approximation to the joint 3D probability distribution of
3 marginal distributions.
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Probability Results
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