SUMX2MY2()
by Helmut Reinke Egbert Jeschke Sara Unverhau, Eckehard Pfeifer, Bodo Fienitz, and
Microsoft® Excel® 2010 Formulas & Functions Inside Out
- Microsoft® Excel® 2010 Formulas & Functions Inside Out
- A Note Regarding Supplemental Files
- Introduction
- 1. Solving Problems with Functions
- Introducing the New Functions in Excel 2010
- Scenario and Goals
- The New Way to Work with Data, Formulas, and Functions
- Entering Test Data Fast
- Converting Formula Results into Fixed Values
- Formatting Numeric Values
- Calculating Profit Margin
- Formatting Data as a Table
- Calculating Profit Margin as a Percentage
- Applying Conditional Formatting
- Creating Meaningful Charts
- Working with PivotTables
- Using PivotCharts: Graphical Pivot
- 2. Using Functions and PowerPivot
- Using Date and Time Functions
- The Excel Date System
- Date and Time Number Formats
- Leap Years
- Analysis Functions
- Date and Time Functions in Practice
- Calculating the Start and End of Daylight Saving Time
- Identifying What Day of the Year Today Is
- Calculating with Time
- Calculating Working Hours
- Calculating Beyond the Date Limit
- Adding Time Intervals
- Calculating the Salary for Working Hours
- Rounding Time Values
- Identifying the Quarter
- Converting Normal Hours into Decimal Hours (Industrial Hours)
- Using Text and Data Functions
- Separating Text Strings Such as ZIP Code and Location
- Separating First and Last Names
- Switching the First and Last Names
- Resolving the IBAN
- Calculating the Frequency of a Character in a String
- Removing All Spaces
- Correcting the Position of Signs
- Displaying the File and Worksheet Name
- Concatenating the Content of Cells
- Breaking Lines in Concatenated Text
- Visualizing Data
- Using Logical Functions
- Using Search and Reference Functions
- Using Information Functions
- Using Statistical Functions
- Using Database Functions
- Using Cube Functions
- Using Financial Math Functions
- Using Math and Trigonometry Functions
- PowerPivot
- 3. From Numbers to Formulas
- Entering Formulas
- Operators
- References in Formulas
- Array Formulas
- Tips and Tricks
- Turning the Formula View On and Off
- Entering Formulas in Several Cells
- Entering Formulas in Several Worksheets
- Selecting Formula Cells
- Determining Which Cells Are Referenced in a Formula
- Copying and Moving Formulas
- Moving Formula Cells
- Copying Formula Cells
- Converting Formula Results into Fixed Values
- Converting Existing Values
- Protecting Formulas
- Hiding Formulas
- Specifying the Formula Calculation Type
- Analyzing Formulas
- Troubleshooting: Example 1
- Troubleshooting: Example 2
- 4. Formulas and Functions
- 5. Functions in Special Operations
- Functions in Names
- Functions for Conditional Formatting
- Highlighting Weekends in Color
- Using the MATCH() Function
- Highlighting Identical Values
- Finding the Differences Between Tables on Different Worksheets
- List Print Layout
- Emphasizing the Top Three Elements
- Highlighting Cells Containing Spaces
- Navigating in Tables with Reference Lines
- Formatting Data Groups
- Formatting Subtotal Results
- Tips for Conditional Formatting in Excel 2003
- Tips and Troubleshooting for Conditional Formatting
- Functions for Validation
- 6. Custom Functions
- 7. Date and Time Functions
- 8. Text and Data Functions
- 9. Logical Functions
- 10. Lookup and Reference Functions
- 11. Information Functions
- 12. Statistical Functions
- AVEDEV()
- AVERAGE()
- AVERAGEA()
- AVERAGEIF()
- AVERAGEIFS()
- BETA.DIST()/BETADIST()
- BETA.INV()/BETAINV()
- BINOM.DIST()/BINOMDIST()
- BINOM.INV()/CRITBINOM()
- CHISQ.DIST()
- CHISQ.DIST.RT()/CHIDIST()
- CHISQ.INV()
- CHISQ.INV.RT()/CHIINV()
- CHISQ.TEST()/CHITEST()
- CONFIDENCE.NORM()/CONFIDENCE()
- CONFIDENCE.T()
- CORREL()
- COUNT()
- COUNTA()
- COUNTBLANK()
- COUNTIF()
- COUNTIFS()
- COVAR()
- COVARIANCE.P()
- COVARIANCE.S()
- DEVSQ()
- EXPON.DIST()/EXPONDIST()
- F.DIST()
- F.DIST.RT()/FDIST()
- F.INV()
- F.INV.RT()/FINV()
- F.TEST()/FTEST()
- FISHER()
- FISHERINV()
- FORECAST()
- FREQUENCY()
- GAMMA.DIST()/GAMMADIST()
- GAMMA.INV()/GAMMAINV()
- GAMMALN()
- GAMMALN.PRECISE()
- GEOMEAN()
- GROWTH()
- HARMEAN()
- HYPGEOM.DIST()/HYPGEOMDIST()
- INTERCEPT()
- KURT()
- LARGE()
- LINEST()
- LOGEST()
- LOGNORM.DIST()/LOGNORMDIST()
- LOGNORM.INV()/LOGINV()
- MAX()
- MAXA()
- MEDIAN()
- MIN()
- MINA()
- MODE.SNGL()/MODE()
- MODE.MULT()
- NEGBINOM.DIST()/NEGBINOMDIST()
- NORM.DIST()/NORMDIST()
- NORM.INV()/NORMINV()
- NORM.S.DIST()/NORMSDIST()
- NORM.S.INV()/NORMSINV()
- PEARSON()
- PERCENTILE()
- PERCENTILE.EXC()
- PERCENTILE.INC()
- PERCENTRANK()
- PERCENTRANK.EXC()
- PERCENTRANK.INC()
- PERMUT()
- POISSON.DIST()/POISSON()
- PROB()
- QUARTILE()
- QUARTILE.EXC()
- QUARTILE.INC()
- RANK()
- RANK.AVG()
- RANK.EQ()
- RSQ()
- SKEW()
- SLOPE()
- SMALL()
- STANDARDIZE()
- STDEV.P()/STDEVP()
- STDEV.S()/STDEV()
- STDEVA()
- STDEVPA()
- STEYX()
- T.DIST()
- T.DIST.RT()
- T.DIST.2T()/TDIST()
- T.INV()
- T.INV.2T()/TINV()
- T.TEST()/TTEST()
- TREND()
- TRIMMEAN()
- VAR.P()/VARP()
- VAR.S()/VAR()
- VARA()
- VARPA()
- WEIBULL.DIST()/WEIBULL()
- Z.TEST()/ZTEST()
- 13. Database Functions
- 14. Cube Functions
- 15. Financial Functions
- ACCRINT()
- ACCRINTM()
- AMORDEGRC()
- AMORLINC()
- COUPDAYBS()
- COUPDAYS()
- COUPDAYSNC()
- COUPNCD()
- COUPNUM()
- COUPPCD()
- CUMIPMT()
- CUMPRINC()
- DB()
- DDB()
- DISC()
- DOLLARDE()
- DOLLARFR()
- DURATION()
- EFFECT()
- FV()
- FVSCHEDULE()
- INTRATE()
- IPMT()
- IRR()
- ISPMT()
- MDURATION()
- MIRR()
- NOMINAL()
- NPER()
- NPV()
- ODDFPRICE()
- ODDFYIELD()
- ODDLPRICE()
- ODDLYIELD()
- PMT()
- PPMT()
- PRICE()
- PRICEDISC()
- PRICEMAT()
- PV()
- RATE()
- RECEIVED()
- SLN()
- SYD()
- TBILLEQ()
- TBILLPRICE()
- TBILLYIELD()
- VDB()
- XIRR()
- XNPV()
- YIELD()
- YIELDDISC()
- YIELDMAT()
- 16. Mathematical and Trigonometry Functions
- Functions for Mathematical Calculations
- Functions for Trigonometry Calculations
- Other Functions
- ABS()
- ACOS()
- ACOSH()
- AGGREGATE()
- ASIN()
- ASINH()
- ATAN()
- ATAN2()
- ATANH()
- CEILING()
- CEILING.PRECISE()
- COMBIN()
- COS()
- COSH()
- DEGREES()
- EVEN()
- EXP()
- FACT()
- FACTDOUBLE()
- FLOOR()
- FLOOR.PRECISE()
- GCD()
- INT()
- LCM()
- LN()
- LOG()
- LOG10()
- MDETERM()
- MINVERSE()
- MMULT()
- MOD()
- MROUND()
- MULTINOMIAL()
- ODD()
- PI()
- POWER()
- PRODUCT()
- QUOTIENT()
- RADIANS()
- RAND()
- RANDBETWEEN()
- ROMAN()
- ROUND()
- ROUNDDOWN()
- ROUNDUP()
- SERIESSUM()
- SIGN()
- SIN()
- SINH()
- SQRT()
- SQRTPI()
- SUBTOTAL()
- SUM()
- SUMIF()
- SUMIFS()
- SUMPRODUCT()
- SUMSQ()
- SUMX2MY2()
- SUMX2PY2()
- SUMXMY2()
- TAN()
- TANH()
- TRUNC()
- 17. Engineering Functions
- A. Excel Functions (in Alphabetical Order)
- B. Excel Functions (by Category)
- C. What’s New in Excel 2007 and Excel 2010
- D. About the Authors
- Index
- About the Authors
- Copyright
Syntax. SUMX2MY2(array_x,array_y)
Definition. This function returns the sum of the difference of squares of corresponding values in two arrays (see Figure 16-35).
Arguments
array_x (required) The first array or range of values
array_y (required) The second array or range of values
Background. The arguments should be numbers or names, arrays, or references containing numbers.
If an array or a reference argument contains text, logical values, or empty cells, those values are ignored. However, cells with the value zero are included. If array_x and array_y have a different number of values, the SUMX2MY2() function returns the #N/A error.
The equation for the sum of the difference of squares is:
Σ(x2 – y2)
The solution for this equation is built for the example (see Figure 16-35) as follows:
In two specified ranges:
Range A: 4, 5
Range B: 2, 3
The square number is calculated for each value:
Range A: 16, 25
Range B: 4, 9
The square numbers of all ranges are added:
Range A: 41
Range B: 13
The sums are subtracted (see Figure 16-35):
41 – 13 = 28
Example. Use this function for statistic tests to evaluate the parallelism, accuracy, or relevance of models. Examples are variance analyses such as:
The calculation of variances in series of measurements
The analysis of linear models (significance of the parameters, quality of the model)
For this application, the square sums and the degrees of freedom (f-values) for the difference of square sums are calculated. The SUMX2MY2() function provides the foundation for these kinds of calculations. You will find more information in Chapter 12.
Sample Files
Use the SUMXY worksheet in the Chapter16.xls or Chapter16.xlsx sample file. The sample files are found in the Chapter16 folder. For more information about the sample files, see the section titled Using the Sample Files.
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