Data Statistics in Calc

Använd datastistik i Calc för att utföra komplex datanalys

Om du arbetar med komplex statistik- eller utvecklingsanalys kan du spara in moment och tid genom att använda Datastatistiken i Calc. Du stoppar in data och parametrar för varje analys och de olika verktygen använder lämpliga statistik- och utvecklingsfunktioner för att beräkna och visa resultaten i en utmatningstabell.

Stickprov

Skapa en tabell vars data är stickprov från en annan tabell

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Choose Data - Statistics - Sampling


Stickprov ger dig möjlighet att plocka data från en källtabell för att fylla en måltabell. Stickprov kan vara slumpvis eller periodisk.

Symbolen Info

Stickprovet görs radvis. Det betyder att stickprovet hämtar en hel rad i källtabellen och kopierar den till en rad i måltabellen.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Stickprovsmetod

Slumpvis: Plockar slumpvis exakt Stickprovsstorlek rader från källtabellen.

Stickprovsstorlek: Antal rader valda från källtabellen.

Periodisk: Väljer rader med ett intervall bestämt av Period.

Period: the number of lines to skip periodically when sampling.

Example

The following data will be used as example of source data table for sampling:

A

B

C

1

11

21

31

2

12

22

32

3

13

23

33

4

14

24

34

5

15

25

35

6

16

26

36

7

17

27

37

8

18

28

38

9

19

29

39


Sampling with a period of 2 will result in the following table:

12

22

32

14

24

34

16

26

36

18

28

38


Descriptive Statistics

Fill a table in the spreadsheet with the main statistical properties of the data set.

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Choose Data - Statistics - Descriptive Statistics


The Descriptive Statistics analysis tool generates a report of univariate statistics for data in the input range, providing information about the central tendency and variability of your data.

Symbolen Info

For more information on descriptive statistics, refer to the corresponding Wikipedia article.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following data will be used as example

A

B

C

1

Maths

Physics

Biology

2

47

67

33

3

36

68

42

4

40

65

44

5

39

64

60

6

38

43

7

47

84

62

8

29

80

51

9

27

49

40

10

57

49

12

11

56

33

60

12

57

13

26


The following table displays the results of the descriptive statistics of the sample data above.

Kolumn 1

Kolumn 2

Kolumn 3

Medelvärde

41.9090909091

59.7

44.7

Standardfel

3.5610380138

5.3583786934

4.7680650629

Mer

47

49

60

Median

40

64.5

43.5

Varians

139.4909090909

287.1222222222

227.3444444444

Standardavvikelse

11.8106269559

16.944681237

15.0779456308

Kurtosis

-1.4621677981

-0.9415988746

1.418052719

Skewness

0.0152409533

-0.2226426904

-0.9766803373

Område

31

51

50

Minimum

26

33

12

Maximum

57

84

62

Sum

461

597

447

Antal

11

10

10


Analysis of Variance (ANOVA)

Produces the analysis of variance (ANOVA) of a given data set

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Choose Data - Statistics - Analysis of Variance (ANOVA)


ANOVA is the acronym for ANalysis Of VAriance. This tool produces the analysis of variance of a given data set

Symbolen Info

For more information on ANOVA, refer to the corresponding Wikipedia article.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Type

Select if the analysis is for a single factor or for two factor ANOVA.

Parametrar

Alpha: the level of significance of the test.

Rows per sample: Define how many rows a sample has.

Example

The following data will be used as example

A

B

C

1

Maths

Physics

Biology

2

47

67

33

3

36

68

42

4

40

65

44

5

39

64

60

6

38

43

7

47

84

62

8

29

80

51

9

27

49

40

10

57

49

12

11

56

33

60

12

57

13

26


The following table displays the results of the analysis of variance (ANOVA) of the sample data above.

ANOVA - Single Factor

Alfa

0.05

Gruppera

Count

Sum

Medelvärde

Varians

Kolumn

11

461

41.9090909091

139.4909090909

Kolumn

10

597

59.7

287.1222222222

Kolumn

10

447

44.7

227.3444444444

Source of Variation

SS

df

MS

F

P-value

Between Groups

1876.5683284457

2

938.2841642229

4.3604117704

0.0224614952

Within Groups

6025.1090909091

28

215.1824675325

Total

7901.6774193548

30


Correlation

Calculates the correlation of two sets of numeric data.

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Meny Data - Statistik - Stickprov...


The correlation coefficient (a value between -1 and +1) means how strongly two variables are related to each other. You can use the CORREL function or the Data Statistics to find the correlation coefficient between two variables.

A correlation coefficient of +1 indicates a perfect positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation

Symbolen Info

For more information on statistical correlation, refer to the corresponding Wikipedia article.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following data will be used as example

A

B

C

1

Maths

Physics

Biology

2

47

67

33

3

36

68

42

4

40

65

44

5

39

64

60

6

38

43

7

47

84

62

8

29

80

51

9

27

49

40

10

57

49

12

11

56

33

60

12

57

13

26


The following table displays the results of the correlation of the sample data above.

Correlations

Kolumn 1

Kolumn 2

Kolumn 3

Kolumn 1

1

Kolumn 2

-0.4029254917

1

Kolumn 3

-0.2107642836

0.2309714048

1


Kovarians

Beräknar kovariansen för två numeriska datamängder.

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Meny Data - Statistik - Stickprov...


Kovariansen är ett mått på samvariationen mellan två slumpvariabler.

Symbolen Info

For more information on statistical covariance, refer to the corresponding Wikipedia article.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following data will be used as example

A

B

C

1

Maths

Physics

Biology

2

47

67

33

3

36

68

42

4

40

65

44

5

39

64

60

6

38

43

7

47

84

62

8

29

80

51

9

27

49

40

10

57

49

12

11

56

33

60

12

57

13

26


Följande tabell visar kovariansen för ovanstående data.

Kovarianser

Kolumn 1

Kolumn 2

Kolumn 3

Kolumn 1

126.8099173554

Kolumn 2

-61.4444444444

258.41

Kolumn 3

-32

53.11

204.61


Exponentiell utjämning

Ger en utjämnad dataserie

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Choose Data - Statistics - Exponential Smoothing


Exponentiell utjämning är en filtreringsteknik som ger ett utjämnat resultat om det används på en datamängd. Det används inom många områden som t.ex. aktiemarknad, ekonomi och stickprovsmätningar.

Symbolen Info

For more information on exponential smoothing, refer to the corresponding Wikipedia article.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Parametrar

Utjämningsfaktor: En parameter mellan 0 och 1 som representerar dämpningsfaktorn Alfa i utjämningsekvationen.

Example

The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.

A

B

1

1

0

2

0

0

3

0

1

4

0

0

5

0

0

6

0

0

7

0

0

8

0

0

9

0

0

10

0

0

11

0

0

12

0

0

13

0

0


Resultatet av utjämning med utjämningsfaktorn 0,5 är som följer:

Alpha

0.5

Kolumn 1

Kolumn 2

1

0

1

0

0.5

0

0.25

0.5

0.125

0.25

0.0625

0.125

0.03125

0.0625

0.015625

0.03125

0.0078125

0.015625

0.00390625

0.0078125

0.001953125

0.00390625

0.0009765625

0.001953125

0.0004882813

0.0009765625

0.0002441406

0.0004882813


Moving Average

Calculates the moving average of a time series

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Meny Data - Statistik - Stickprov...


Symbolen Info

For more information on the moving average, refer to the corresponding Wikipedia article.


Data

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Parametrar

Interval: The number of samples used in the moving average calculation.

Example

The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.

A

B

1

1

0

2

0

0

3

0

1

4

0

0

5

0

0

6

0

0

7

0

0

8

0

0

9

0

0

10

0

0

11

0

0

12

0

0

13

0

0


Results of the moving average:

Kolumn 1

Kolumn 2

#SAKNAS

#SAKNAS

0.3333333333

0.3333333333

0

0.3333333333

0

0.3333333333

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

#SAKNAS

#SAKNAS


Parat t-test

Beräknar parat t-test av två stickprov.

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Meny Data - Statistik - Parat t-test


Ett parat t-test är en statistisk hypotesprövning som följer studentfördelningen.

Symbolen Info

Läs mer om parat t-test i wikipedia-artikeln.


Data

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following table has two data sets.

A

B

1

28

19

2

26

13

3

31

12

4

23

5

5

20

34

6

27

31

7

28

31

8

14

12

9

4

24

10

0

23

11

2

19

12

8

10

13

9

33


Resultat för parat t-test:

Följande tabell visar det parade t-testet för dataserien ovan:

parat t-test

Alpha

0.05

Hypothesized Mean Difference

0

Variable 1

Variable 2

Medelvärde

16.9230769231

20.4615384615

Varians

125.0769230769

94.4358974359

Observations

13

13

Pearson Correlation

-0.0617539772

Observed Mean Difference

-3.5384615385

Variance of the Differences

232.9358974359

df

12

t Stat

-0.8359262137

P (T<=t) one-tail

0.2097651442

t Critical one-tail

1.7822875556

P (T<=t) two-tail

0.4195302884

t Critical two-tail

2.1788128297


F-test

Calculates the F-Test of two data samples.

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Meny Data - Statistik - Stickprov...


A F-test is any statistical test based on the F-distribution under the null hypothesis.

Symbolen Info

For more information on F-tests, refer to the corresponding Wikipedia article.


Data

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following table has two data sets.

A

B

1

28

19

2

26

13

3

31

12

4

23

5

5

20

34

6

27

31

7

28

31

8

14

12

9

4

24

10

0

23

11

2

19

12

8

10

13

9

33


Results for F-Test:

The following table shows the F-Test for the data series above:

Ftest

Alpha

0.05

Variable 1

Variable 2

Medelvärde

16.9230769231

20.4615384615

Varians

125.0769230769

94.4358974359

Observations

13

13

df

12

12

F

1.3244637524

P (F<=f) right-tail

0.3170614146

F Critical right-tail

2.6866371125

P (F<=f) left-tail

0.6829385854

F Critical left-tail

0.3722125312

P two-tail

0.6341228293

F Critical two-tail

0.3051313549

3.277277094


Z-test

Calculates the z-Test of two data samples.

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Meny Data - Statistik - Stickprov...


Symbolen Info

For more information on Z-tests, refer to the corresponding Wikipedia article.


Data

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following table has two data sets.

A

B

1

28

19

2

26

13

3

31

12

4

23

5

5

20

34

6

27

31

7

28

31

8

14

12

9

4

24

10

0

23

11

2

19

12

8

10

13

9

33


Results for z-Test:

The following table shows the z-Test for the data series above:

z-test

Alpha

0.05

Hypothesized Mean Difference

0

Variable 1

Variable 2

Known Variance

0

0

Medelvärde

16.9230769231

20.4615384615

Observations

13

13

Observed Mean Difference

-3.5384615385

z

#DIV/0!

P (Z<=z) one-tail

#DIV/0!

z Critical one-tail

1.644853627

P (Z<=z) two-tail

#DIV/0!

z Critical two-tail

1.9599639845


Chi-square test

Calculates the Chi-square test of a data sample.

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Choose Data - Statistics - Chi-square Test


Symbolen Info

For more information on chi-square tests, refer to the corresponding Wikipedia article.


Data

Input range: The reference of the range of the data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Grouped By

Select whether the input data has columns or rows layout.

Example

The following table has two data sets.

A

B

1

28

19

2

26

13

3

31

12

4

23

5

5

20

34

6

27

31

7

28

31

8

14

12

9

4

24

10

0

23

11

2

19

12

8

10

13

9

33


Results for Chi-square Test:

Test of Independence (Chi-Square)

Alpha

0.05

df

12

P-value

2.32567054678584E-014

Test Statistic

91.6870055842

Critical Value

21.0260698175