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Transcript
Functions on EXCEL
Normsdit
Normsdit(x;mean;standars_dev;cumulative)
EX: If the random variable X that represents the length in one of the human
societies divided according to the normal distribution with an average
165 cm and a standard deviation of 5 cm founding value of the normative
values of X = 172 ?
So:
=NORMDIST(172;165;5;TRUE)
Report: Returns the normal distribution for the specified mean and standard
deviation. This function has a very wide range of applications in
statistics, including hypothesis testing.
Norminv
Normsinv(probability;mean;standard_dev)
EX: For example: If a random variable X which is the length in one of the
human societies divided by the normal distribution with an average of
165 centimeters and standard deviation of five founding value of X if the
criterion value is Z = 0.919243?
So:
=NORMINV(0.919243;165;5)
Report: Returns the inverse of the normal cumulative distribution for the
specified mean and standard deviation.
1
logest
Logest(known_y's;known_x's;const;stats)
EX: Enter the data through the Excel program and then Find the logarithm of
the data
So:
=LOGEST(A2:A7;B2:B7;TRUE;FALSE)
Report: In regression analysis, calculates an exponential curve that fits your
data and returns an array of values that describes the curve. Because this
function returns an array of values, it must be entered as an array
formula.
2
Average
Average ( number 1; number 2;..)
EX: If sample X=2,4,6,8,10 Find the average of these numbers
So:
= AVERAGE(A2:A6)
Report: Returns the average (arithmetic mean) of the arguments.
3
Binomdist
Binomial(x; n, ; p; true)
Binomdist (number-s; trials; probability _s ; cumulative )
EX: If a publisher wants to know the probability of publishing three bestselling books out of a set of ten books when the probability of publishing
a best-selling book is ten percent, the formula is :
So:
= BINOMDIST(3;10;0.1;FALSE)
Report: Returns the individual term binomial distribution probability. Use
BINOMDIST in problems with a fixed number of tests or trials, when the
outcomes of any trial are only success or failure, when trials are
independent, and when the probability of success is constant throughout
the experiment. For example, BINOMDIST can calculate the probability
that two of the next three babies born are male.
4
Chidist
Chidist( x;deg_freedom)
EX: P(χ2 < 2) = ?? with df=5
OR
P(χ2
2) = ?? with df=5
So:
=CHIDIST(2,5)
Report: Returns the one-tailed probability of the chi-squared distribution.
The χ2 distribution is associated with a χ2 test. Use the χ2 test to compare
observed and expected values. For example, a genetic experiment might
hypothesize that the next generation of plants will exhibit a certain set of
colors. By comparing the observed results with the expected ones, you
can decide whether your original hypothesis is valid.
Chiinv
Chiinv(probability;deg_freedom)
EX:
P(χ2 <a)=0.849145 with df=5, find the value a?
So:
=chiinv(0.849145,5)
Report: Returns the inverse of the one-tailed probability of the chi-squared
distribution.
If
probability
=
CHIDIST(x,...),
then
CHIINV
(probability,...) = x. Use this function to compare observed results with
expected ones in order to decide whether your original hypothesis is
valid.
5
Correl
Correl (array1;array2)
EX: Find the Correlation coefficient for the following data
Array 1
5
7
8
5
7
9
Array 2
3
5
6
6
6
7
So:
=CORREL(A2:A7;B2:B7)
The correlation coefficient between two variable is 67.9%
Report: Returns the correlation coefficient of the array1 and array2 cell
ranges. Use the correlation coefficient to determine the relationship
between two properties. For example, you can examine the relationship
between a location's average temperature and the use of air conditioners.
6
Count
Count(value1;value2;….)
EX:
So:
Report: The COUNT function counts the number of cells that contain
numbers, and counts numbers within the list of arguments
7
Counta
Counta(value1;value2;….)
EX:
So:
Report: The COUNTA function counts the number of cells that are not empty
in a range (range: Two or more cells on a sheet. The cells in a range can
be adjacent or nonadjacent.).
8
Fdist
Fdist(x:deg_freedom1:freedom2)
EX: f-value equals 0.5 And assume that both samples number 10 items, which
means both samples have degrees of freedom equal to 9. The formula:
So:
=FDIST(0.5,9,9)
Report: Returns the F probability distribution. You can use this function to
determine whether two data sets have different degrees of diversity. For
example, you can examine the test scores of men and women entering
high school and determine if the variability in the females is different
from that found in the males.
9
Finv
Finv(probability;deg_freedom1; deg_freedom2)
EX: f-distribution probability equals 0.841761297 . And assume that both
samples number 10 items, which means both samples have degrees of
freedom equal to 9. The formula :
So:
=FINV(0.841761297, 9, 9)
Report: The F distribution can be used in an F-test that compares the degree
of variability in two data sets. For example, you can analyze income
distributions in the United States and Canada to determine whether the
two countries have a similar degree of income diversity.
10
Tdist
Tdist(x;deg_freedom:ails)
EX: to calculate the two-tailed probability of the t-value 2.093025 given 19
degrees of freedom :, you use the following formula
So:
=TDIST(2.093025,19,2)
Report: Returns the Percentage Points (probability) for the Student tdistribution where a numeric value (x) is a calculated value of t for which
the Percentage Points are to be computed. The t-distribution is used in
the hypothesis testing of small sample data sets. Use this function in place
of a table of critical values for the t-distribution.
Tinv
Tinv( x ; deg_freedom ;tails )
EX: To calculate the t-value given a 0.05 probability and 19 degrees of
freedom, for example, use the following formula :
So:
=TINV(0.05,19)
Report: Returns the t-value of the Student's t-distribution as a function of the
probability and the degrees of freedom.
11
Hypgeomdist
Hypgeomdist(sample_s;number_sample;population_s;…)
EX: suppose you want to calculate the probability that in a sample of 30 items,
5 will be successful . And suppose you know that within a 4,000-item
population, You use the following formula to make this calculation 1,000
are successful
So:
=HYPGEOMDIST(5,30,1000,4000)
Report: Returns the hypergeometric distribution. HYPGEOMDIST returns
the probability of a given number of sample successes, given the sample
size, population successes, and population size. Use HYPGEOMDIST for
problems with a finite population, where each observation is either a
success or a failure, and where each subset of a given size is chosen with
equal likelihood.
12
Max
Max(number1;number2;….)
EX: Scores of the students(10,11,13,15,8,5) a valuable stage in high school
mathematics calculate the values of max :
So:
=MAX(A1:A6)
Report: Returns the largest value in a set of values.
Min
Min(number1;number2;….)
EX: Scores of the students(10,11,13,15,8,5) a valuable stage in high school
mathematics calculate the values of min :
So:
= MIN(A1:A6)
Report: Returns the smallest number in a set of values.
13