
- Excel Functions - Home
- Compatibility Functions
- Compatibility Functions
- BETADIST Function
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- CHITEST Function
- CONFIDENCE Function
- COVAR Function
- CRITBINOM Function
- EXPONDIST Function
- FDIST Function
- FINV Function
- FLOOR Function
- FTEST Function
- GAMMADIST Function
- GAMMAINV Function
- HYPGEOMDIST Function
- LOGINV Function
- LOGNORMDIST Function
- MODE Function
- NEGBINOMDIST Function
- NORMDIST Function
- NORMINV Function
- NORMSDIST Function
- NORMSINV Function
- PERCENTILE Function
- PERCENTRANK Function
- POISSON Function
- QUARTILE Function
- RANK Function
- STDEV Function
- STDEVP Function
- TDIST Function
- TINV Function
- TTEST Function
- VAR Function
- VARP Function
- WEIBULL Function
- ZTEST Function
- Logical Functions
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- AND Function
- FALSE Function
- IF Function
- IFERROR Function
- IFNA Function
- IFS Function
- NOT Function
- OR Function
- SWITCH Function
- TRUE Function
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- Text Functions
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- ARRAYTOTEXT Function
- BAHTTEXT Function
- CHAR Function
- CLEAN Function
- CODE Function
- CONCAT Function
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- DBCS Function
- DOLLAR Function
- Exact Function
- FIND Function
- FINDB Function
- FIXED Function
- LEFT Function
- LEFTB Function
- LEN Function
- LENB Function
- LOWER Function
- MID Function
- MIDB Function
- NUMBERVALUE Function
- PHONETIC Function
- PROPER Function
- REPLACE Function
- REPLACEB Function
- REPT Function
- RIGHT Function
- RIGHTB Function
- SEARCH Function
- SEARCHB Function
- SUBSTITUTE Function
- T Function
- TEXT Function
- TEXTAFTER Function
- TEXTBEFORE Function
- TEXTJOIN Function
- TEXTSPLIT Function
- TRIM Function
- UNICHAR Function
- UNICODE Function
- UPPER Function
- VALUE Function
- VALUETOTEXT Function
- Date & Time Functions
- Date & Time Functions
- DATE Function
- DATEDIF Function
- DATEVALUE Function
- DAY Function
- DAYS Function
- DAYS360 Function
- EDATE Function
- EOMONTH Function
- HOUR Function
- ISOWEEKNUM Function
- MINUTE Function
- MONTH Function
- NETWORKDAYS Function
- NETWORKDAYS.INTL Function
- NOW Function
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- TIME Function
- TIMEVALUE Function
- TODAY Function
- WEEKDAY Function
- WEEKNUM Function
- WORKDAY Function
- WORKDAY.INTL Function
- YEAR Function
- YEARFRAC Function
- Cube Functions
- Cube Functions
- CUBEKPIMEMBER Function
- CUBEMEMBER Function
- CUBEMEMBERPROPERTY Function
- CUBERANKEDMEMBER Function
- CUBESET Function
- CUBESETCOUNT Function
- CUBEVALUE Function
- Math Functions
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- ABS Function
- AGGREGATE Function
- ARABIC Function
- BASE Function
- CEILING.MATH Function
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- COMBINA Function
- DECIMAL Function
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- EVEN Function
- EXP Function
- FACT Function
- FACTDOUBLE Function
- FLOOR.MATH Function
- GCD Function
- INT Function
- LCM Function
- LN Function
- LOG Function
- LOG10 Function
- MDETERM Function
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- MMULT Function
- MOD Function
- MROUND Function
- MULTINOMIAL Function
- MUNIT Function
- ODD Function
- PI Function
- POWER Function
- PRODUCT Function
- QUOTIENT Function
- RADIANS Function
- RAND Function
- RANDBETWEEN Function
- ROMAN Function
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- TRUNC Function
- Trigonometric Functions
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- ACOS
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- ATAN Function
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- TAN Function
- TANH Function
- Database Functions
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- DAVERAGE
- DCOUNT
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- DGET
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- DPRODUCT
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- DSUM
- DVAR
- DVARP
- Dynamic Array Functions
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- SEQUENCE Function
- SORT Function
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- UNIQUE Function
- XLOOKUP Function
- XMATCH Function
- Engineering Functions
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- BESSELI Function
- BESSELJ Function
- BESSELK Function
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- BIN2DEC Function
- BIN2HEX Function
- BIN2OCT Function
- BITAND Function
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- BITRSHIFT Function
- BITXOR Function
- COMPLEX Function
- CONVERT Function
- DEC2BIN Function
- DEC2HEX Function
- DEC2OCT Function
- DELTA Function
- ERF Function
- ERF.PRECISE Function
- ERFC Function
- ERFC.PRECISE Function
- GESTEP Function
- HEX2BIN Function
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- HEX2OCT Function
- IMABS Function
- IMAGINARY Function
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- IMCONJUGATE Function
- IMCOS Function
- IMCOSH Function
- IMCOT Function
- IMCSC Function
- IMCSCH Function
- IMDIV Function
- IMEXP Function
- IMLN Function
- IMLOG2 Function
- IMLOG10 Function
- IMPOWER Function
- IMPRODUCT Function
- IMREAL Function
- IMSEC Function
- IMSECH Function
- IMSIN Function
- IMSINH Function
- IMSQRT Function
- IMSUB Function
- IMSUM Function
- IMTAN Function
- OCT2BIN Function
- OCT2DEC Function
- OCT2HEX Function
- Financial Functions
- Financial Functions
- ACCRINT Function
- ACCRINTM Function
- AMORDEGRC Function
- AMORLINC Function
- COUPDAYBS Function
- COUPDAYS Function
- COUPDAYSNC Function
- COUPNCD Function
- COUPNUM Function
- COUPPCD Function
- CUMIPMT Function
- CUMPRINC Function
- DB Function
- DDB Function
- DISC Function
- DOLLARDE Function
- DOLLARFR Function
- DURATION Function
- EFFECT Function
- FV Function
- FVSCHEDULE Function
- INTRATE Function
- IPMT Function
- IRR Function
- ISPMT Function
- MDURATION Function
- MIRR Function
- NOMINAL Function
- NPER Function
- NPV Function
- ODDFPRICE Function
- ODDFYIELD Function
- ODDLPRICE Function
- ODDLYIELD Function
- PDURATION Function
- PMT Function
- PPMT Function
- PRICE Function
- PRICEDISC Function
- PRICEMAT Function
- PV Function
- RATE Function
- RECEIVED Function
- RRI Function
- SLN Function
- SYD Function
- TBILLEQ Function
- TBILLPRICE Function
- TBILLYIELD Function
- VDB Function
- XIRR Function
- XNPV Function
- YIELD Function
- YIELDDISC Function
- YIELDMAT Function
- Information Functions
- Information Functions
- CELL Function
- ERROR.TYPE Function
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- ISBLANK Function
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- ISERROR Function
- ISEVEN Function
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- ISLOGICAL Function
- ISNA Function
- ISNONTEXT Function
- ISNUMBER Function
- ISODD Function
- ISREF Function
- ISTEXT Function
- N Function
- NA Function
- SHEET Function
- SHEETS Function
- TYPE Function
- Lookup & Reference Functions
- Lookup & Reference Functions
- ADDRESS Function
- AREAS Function
- CHOOSE Function
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- COLUMNS Function
- FORMULATEXT Function
- GETPIVOTDATA Function
- HLOOKUP Function
- HYPERLINK Function
- INDEX Function
- INDIRECT Function
- LOOKUP Function
- MATCH Function
- OFFSET Function
- ROW Function
- ROWS Function
- RTD Function
- TRANSPOSE Function
- VLOOKUP Function
- Statistical Functions
- Statistical Functions
- AVEDEV Function
- AVERAGE Function
- AVERAGEA Function
- AVERAGEIF Function
- AVERAGEIFS Function
- BETA.DIST Function
- BETA.INV Function
- BINOM.DIST Function
- BINOM.DIST.RANGE Function
- BINOM.INV Function
- CHISQ.DIST Function
- CHISQ.DIST.RT Function
- CHISQ.INV Function
- CHISQ.INV.RT Function
- CHISQ.TEST Function
- CONFIDENCE.NORM Function
- CONFIDENCE.T Function
- CORREL Function
- COUNT Function
- COUNTA Function
- COUNTBLANK Function
- COUNTIF Function
- COUNTIFS Function
- COVARIANCE.P Function
- COVARIANCE.S Function
- DEVSQ Function
- EXPON.DIST Function
- F.DIST Function
- F.DIST.RT Function
- F.INV Function
- F.INV.RT Function
- F.TEST Function
- FISHER Function
- FISHERINV Function
- FORECAST Function
- FORECAST.ETS Function
- FORECAST.ETS.CONFINT Function
- FORECAST.ETS.SEASONALITY Function
- FORECAST.ETS.STAT Function
- FORECAST.LINEAR Function
- FREQUENCY Function
- GAMMA Function
- GAMMA.DIST Function
- GAMMA.INV Function
- GAMMALN Function
- GAMMALN.PRECISE Function
- GAUSS Function
- GEOMEAN
- GROWTH
- HARMEAN
- HYPGEOM.DIST
- INTERCEPT Function
- KURT Function
- LARGE Function
- LINEST Function
- LOGEST Function
- LOGNORM.DIST Function
- LOGNORM.INV Function
- MAX Function
- MAXA Function
- MAXIFS Function
- MEDIAN Function
- MIN Function
- MINA Function
- MINIFS Function
- MODE.MULT Function
- MODE.SNGL Function
- NEGBINOM.DIST Function
- NORM.DIST Function
- NORM.INV Function
- NORM.S.DIST Function
- NORM.S.INV Function
- PEARSON Function
- PERCENTILE.EXC
- PERCENTILE.INC
- PERCENTRANK.EXC
- PERCENTRANK.INC
- PERMUT
- PERMUTATIONA
- PHI
- POISSON.DIST
- PROB
- QUARTILE.EXC
- QUARTILE.INC
- RANK.AVG
- RANK.EQ
- RSQ
- SKEW
- SKEW.P
- SLOPE
- SMALL
- STANDARDIZE
- STDEV.P
- STDEV.S
- STDEVA
- STDEVPA
- STEYX
- T.DIST
- T.DIST.2T
- T.DIST.RT
- T.INV
- T.INV.2T
- T.TEST
- TREND
- TRIMMEAN Function
- VAR.P Function
- VAR.S Function
- VARA Function
- VARPA Function
- WEIBULL.DIST Function
- Z.TEST Function
- Web Functions
- Web Functions
- ENCODEURL Function
- FILTERXML Function
- WEBSERVICE Function
Excel - FTEST Function
FTEST Function
The FTEST function in Excel is a statistical function that is used to determine whether the two independent samples have equal variances. Implementing the F test manually is tedious, prone to error, and produces inaccurate results. An F-test returns the two-tailed probability that the variances in array1 and array2 are not significantly different.
After performing the F-test function, you can decide whether to accept the alternative hypothesis or reject the null hypothesis. If the output is statistically significant, the null hypothesis should be rejected.
The FTEST function replaces the F.TEST function in Excel 2010.
Compatibility
This advanced Excel function is compatible with the following versions of MS-Excel −
- Excel for Microsoft 365
- Excel for Microsoft 365 for Mac
- Excel for the web
- Excel 2021
- Excel 2021 for Mac
- Excel 2019
- Excel 2019 for Mac
- Excel 2016
Syntax
The syntax of FTEST function is as follows −
FTEST (arr1, arr2)
Arguments
You can use the following arguments with the FTEST function −
Argument | Description | Required / Optional |
---|---|---|
Arr1 | It specifies the first data range | Required |
Arr2 | It specifies the second data range | Required |
Points to Remember
- Only numeric values, arrays, names, and references that address the numeric values are valid inside the arguments.
- If the number of data points in arr1 or arr2 is less than 2, or if the variance of arr1 or arr2 is zero, FTEST returns the #DIV/0! error value.
- If an array or reference argument comprises text, logical values, or empty cells, those values are ignored. However, cells with the value zero are included.
- The F-test value returned by the LINEST function differs from that returned by the FTEST function. LINEST returns the F statistic, whereas FTEST returns the probability.
- More than two arguments are not possible inside the F-test function.
- This function follows the F distribution, and the data range must be independent.
- Mathematically, the F test formula is represented by $\mathrm{F \: = \: \frac{v_1^2}{v_2^2}}$
- One Way Anova is a perfect example of F-test.
- Make sure that two samples are independent and that the sample dataset is distributed normally.
Examples of FTEST Function
Practice the following examples to learn the use of the FTEST function in Excel.
Example 1
Only numeric values, arrays, names, and references that address the numeric values are valid inside the arguments.
Solution
Firstly, assume the sample worksheets shown in the screenshot below. For instance, the delivery time of medicine across Delhi city is showcased in the range "B3:B7," and the delivery period across Agra city is specified in the range "C3:C7." Enter the formula =FTEST(B3:B7, C3:C7) in the C8 cell and press "Enter" to obtain the output.


Example 2
If the number of data points in arr1 or arr2 is less than 2, or if the variance of arr1 or arr2 is zero, FTEST returns the #DIV/0! error value.
Solution
In this example, consider the sample data where the first sample comprises only a single data value and the other sample contains multiple data values.
Will the F test perform correctly for the given sample data?
Lets observe in the below worksheet. You may enter the formula =FTEST(C4:C8, D4:D8) in the D9 cell and press the Enter tab.


As you can notice in the screenshot, the error occurred while performing the FTEST function. If the data values are smaller than 2 in the given arrays, then a "#DIV/0!" error will occur.
Example 3
If an array or reference argument comprises text, logical values, or empty cells, those values are ignored. However, cells with the value zero are included.
Solution
Firstly, you can consider the sample dataset that contains empty, numeric, and non-numeric values. Now, you can enter the formula =FTEST(B5:B9, C5:C9) in the C10 cell. Press the Enter tab.


Here, the values of cell references like B6, C5, B7, and C9 are ignored as these cell references do not contain the numeric value. Therefore, the resulting value is 0.197276.