The uncertainty of the solution

The uncertainty is calculated as follows: s 2 (x1 x) 2 + (x2-x) (n-1). Note:

x forAverage, n is the number of measurements. The greater the variance, the greater the uncertainty; The smaller the variance, the less uncertainty it has.

The meaning of uncertainty refers to the degree of uncertainty about the measured value due to the existence of measurement error. This, in turn, indicates how trustworthy the results are. It is an indicator of the quality of the results.

Definition. Based on the information used, the characterization of the non-negative parameters that give the dispersion of the measured values is characterized.

Note: 1. Measurement uncertainty.

Includes components caused by system influences, such as those related to corrections and measurements, and defined uncertainties. In some cases, the estimated system impact is not corrected and is treated as an uncertainty component.

2. This parameter can be something like the standard deviation of the uncertainty of the standard measurement.

or a specific multiple thereof), or illustrates the half-width of the interval containing the probability.

3. The measurement uncertainty is generally composed of several components. Some of these components can be assessed according to the statistical distribution of a series of measurements, according to the Class A assessment of the uncertainty of the clearance of the cave, and can be assessed with standard deviations.

Characterization. Other components can be derived from a probability density function based on experience or other information.

It is evaluated according to the measurement uncertainty class B assessment, which is also characterized by standard deviation.

4. In general, for a given set of information, the measurement uncertainty is corresponding to the value assigned to the measured by the tremor hood. A change in this value will result in a change in the corresponding uncertainty.

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Problem description:1Calculate the class A uncertainty u(a):

The temperature control requirement of an industrial container is 10, and a thermometer is used to measure 6 times in a row to obtain a set of measured values:

First time:; Second:; Third time:; Fourth:; Fifth time:; Sixth:;

2.Calculate the class b uncertainty u(b):

It is known that when the thermometer is calibrated by the metrology department, the uncertainty at the time of calibration given on the calibration certificate is 99% confidence probability p, which is normally distributed.

The correlation between the confidence level (confidence probability) and k containing the factor under the normal distribution.

p(%)50 90 99

k 1 33.Calculate the synthetic uncertainty uc

The above Class A and B uncertainties are treated as non-correlative.

4.Calculate the extended uncertainty u

The inclusion factor k is taken as 2

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Analysis: The method of calculating the uncertainty of class A.

When n=6, u(a)=s(x).

The average value of the data is set to q

With the Beki-state Searle formula s(x)*s(x) = x1-q)*(x1-q)+(x2-q)*(x2-q).x6-q)(x6-q)] 6-1).

Class B UB is.

Synthetic uncertainty uc *uc = ua*ua + ub*ub

The value of the uncertainty is the maximum distance of each value from the mean.

Example: There is a column of family room tours. a1,a2, .an, their average value is a, then the uncertainty is: max

Category A assessment of uncertainty.

The standard uncertainty is assessed by statistical analysis of the observation columns, which is called the non-volcanic certainty class A assessment; The resulting standard uncertainty is called a class A uncertainty component and is denoted by the symbol UA. It is characterized by the standard deviation of the megapin experiment.

Calculation formula: UA=s of a measurement result AN;

The uncertainty of the average measurement a = s sqrt(n) = <>

take the logarithm ln =ln4m-ln -lnd 2-lnh

Derivative d 2dd d-dh d

After the derivative sign d becomes the uncertainty sign u, the square of each item is positive.

uρ/ρ2=(2ud/d)^2+(uh/h)^2

Solve u = under the root number ((2ud d) 2+(uh h) 2).

m v=4m ( d*d*h) is substituted by 2, and m=m-m1 is set

Derivative dm = dm-dm1

After the derivative sign d becomes the uncertainty sign u, the square of each item is positive.

Get um=under the root number (um 2+um1 2).

m*ρo)/(m-m1)=(m*ρo)/m

Derivative and according to the above method to find u = root number (um 2 + um 2) to hold the calculated um generation family in.