# uncertainty

1. ### Uncertainty of weighted average

Hello, I have a bunch of reflectances measured, each with a specific uncertainty at different wavelengths. I am trying to do a weighted average, knowing the weights for each measured reflectance. My question is what is the uncertainty of the weighted average? In other words, F_ave =...
2. ### Bayes theorem with errors

I have a situation in which I want to calculate, for a given $y$ (which I measure experimentally), the probability distribution of $x$ i.e. $p(x|y)$ (actually what I need is the value of x for which this is maximized). Using Bayes theorem I have $p(x|y) = \frac{p(y|x)p(x)}{p(y)}$. I know both...
3. ### How can I evaluate uncertainty of measure starting from recovery data obtained analyzing spiked samples during method validation?

I'm a researcher working in the field of analytical method validation. I'm studying how I can evaluate the uncertainty of measure starting from recovery data obtained analyzing spiked sample. I found in literature an application in which it's evaluated the reproducibility calculating the RMS...
4. ### Survey uncertainty with a given population proportion

Hello! I have to estimate the uncertainty of the result of a survey where there sample size was defined to have an uncertainty of 2.76%, based on p a p value of 0.5. The 2.76% error is calculated assuming a 50% population proportion, which is a worst case scenario assumption: size...
5. ### Number of responses above a threshold after considering survey error

I am interested in how many people in my survey of people earn between $50,000 and$54,999. I construct a paper survey which asks for income in $5,000 bands. 200 people respond that they earn between$45,000 and $49,999.99 20 people respond that they earn between$50,000 and \$54,999.99...
6. ### Quantile prediction?

Here is my situation. I am trying to predict the 'entire' distribution of the dependent variable, not just the mean( or conditional mean). Does it then make sense to seprateley predict quantiles of this variable to learn about the new predicted CDF? I intend to use this CDF as one input (say...
7. ### Optimization of variables with significantly different standard errors.

Hi everyone! I have some issues related to the title at hand, and hopefully you guys can help. Sorry for the long post. I have forecasted mean variance data given to me for about 10 different variables. I need to optimize those variables. I have historical data for those 10 different...
8. ### Uncertainty Modeling

Hello, I have a data set with attributes {X1,X2,X3,X4,X5} Each attribute has a value {1,2,3,4} Each data set has a utility U Run time object could be {1,1,2,3,1,4} with Utility 0.98 This run time object is considered as an input for a process in case that it has a utility of 0. the process...
9. ### Uncertainty in Standard Deviation

The 95% confidence intervals for the standard deviation (SD) of 5 measurements is approximately 0.6*SD to 2.87*SD. The measurements are laser analyses to determine the atomic composition of a solid material. If each of the 5 measurements, stated above, actually consist of the average of 50...