Results

Repeated Measures ANOVA

Within Subjects Effects
 Sphericity CorrectionSum of SquaresdfMean SquareFpη²
Stinky Cheese VarietyNone309.8353103.2783.3110.03500.099
 Greenhouse-Geisser309.8352.724113.7603.3110.04050.099
ResidualNone842.2422731.194   
 Greenhouse-Geisser842.24224.51234.360   
RefrigerationNone337.0211337.021107.3812.66e0-60.108
 Greenhouse-Geisser337.0211.000337.021107.3812.66e-60.108
ResidualNone28.24793.139   
 Greenhouse-Geisser28.2479.0003.139   
Stinky Cheese Variety ✻ RefrigerationNone894.1413298.047115.1061.70e-150.286
 Greenhouse-Geisser894.1411.799497.000115.1064.52e-100.286
ResidualNone69.912272.589   
 Greenhouse-Geisser69.91216.1924.318   
Note. Type 3 Sums of Squares
[3]

 

Between Subjects Effects
 Sum of SquaresdfMean SquareFpη²
Residual639.630971.070   
Note. Type 3 Sums of Squares

 

Assumptions

Tests of Sphericity
 Mauchly's WpGreenhouse-Geisser εHuynh-Feldt ε
Stinky Cheese Variety0.8510.94050.9081.000
Refrigeration1.000NaN1.0001.000
Stinky Cheese Variety ✻ Refrigeration0.1550.01420.6000.740
ᵃ The repeated measures has only two levels. The assumption of sphericity is always met when the repeated measures has only two levels

 

Estimated Marginal Means

Stinky Cheese Variety ✻ Refrigeration

[4]

Paired Samples T-Test

Paired Samples T-Test
95% Confidence Interval
   statisticdfpMean differenceSE difference Effect SizeLowerUpper
Fridge LimbergerFridge EpoissesStudent's t1.7589.0000.11263.5602.025Cohen's d0.556-0.1271.212
 Fridge Blue StiltonStudent's t5.9519.0002.15e-412.8702.163Cohen's d1.8820.8092.921
 Fridge RoquefortStudent's t2.5249.0000.03264.3001.704Cohen's d0.7980.0641.500
Fridge EpoissesFridge Blue StiltonStudent's t6.8319.0007.63e-59.3101.363Cohen's d2.1600.9843.305
 Fridge RoquefortStudent's t0.3869.0000.70830.7401.916Cohen's d0.122-0.5030.741
Fridge Blue Stilton Student's t-5.1019.0006.45e-4-8.5701.680Cohen's d-1.613-2.555-0.635

 

Descriptives
 NMeanMedianSDSE
Fridge Limberger1021.55021.0005.6741.794
Fridge Epoisses1017.99017.9504.1761.321
Fridge Limberger1021.55021.0005.6741.794
Fridge Blue Stilton108.6808.2004.9261.558
Fridge Limberger1021.55021.0005.6741.794
Fridge Roquefort1017.25017.2504.0091.268
Fridge Epoisses1017.99017.9504.1761.321
Fridge Blue Stilton108.6808.2004.9261.558
Fridge Epoisses1017.99017.9504.1761.321
Fridge Roquefort1017.25017.2504.0091.268
Fridge Blue Stilton108.6808.2004.9261.558
Fridge Roquefort1017.25017.2504.0091.268

 

Paired Samples T-Test

Paired Samples T-Test
95% Confidence Interval
   statisticdfpMean differenceSE difference Effect SizeLowerUpper
Room Temp LimbergerRoom Temp EpoissesStudent's t1.3599.0000.207182.7101.994Cohen's d0.430-0.2311.069
 Room Temp Blue StiltonStudent's t-1.3539.0000.20914-2.6901.989Cohen's d-0.428-1.0670.233
 Room Temp RoquefortStudent's t2.8199.0000.020064.6901.663Cohen's d0.8920.1341.615
Room Temp EpoissesRoom Temp Blue StiltonStudent's t-2.6579.0000.02619-5.4002.033Cohen's d-0.840-1.552-0.095
 Room Temp RoquefortStudent's t1.1359.0000.285621.9801.744Cohen's d0.359-0.2910.991
Room Temp Blue Stilton Student's t4.5459.0000.001407.3801.624Cohen's d1.4370.5192.320

 

Descriptives
 NMeanMedianSDSE
Room Temp Limberger1021.65021.3005.7651.823
Room Temp Epoisses1018.94018.7003.7521.186
Room Temp Limberger1021.65021.3005.7651.823
Room Temp Blue Stilton1024.34026.4504.9851.576
Room Temp Limberger1021.65021.3005.7651.823
Room Temp Roquefort1016.96016.8003.6641.159
Room Temp Epoisses1018.94018.7003.7521.186
Room Temp Blue Stilton1024.34026.4504.9851.576
Room Temp Epoisses1018.94018.7003.7521.186
Room Temp Roquefort1016.96016.8003.6641.159
Room Temp Blue Stilton1024.34026.4504.9851.576
Room Temp Roquefort1016.96016.8003.6641.159

 

Repeated Measures ANOVA

Within Subjects Effects
 Sphericity CorrectionSum of SquaresdfMean SquareFpη²
Refrigerated Stinky Cheese VarietiesNone893.6733297.89117.8441.38e-60.525
 Greenhouse-Geisser893.6732.398372.64817.8441.24e-50.525
ResidualNone450.7352716.694   
 Greenhouse-Geisser450.73521.58320.883   
Note. Type 3 Sums of Squares
[3]

 

Between Subjects Effects
 Sum of SquaresdfMean SquareFpη²
Residual359.000939.889   
Note. Type 3 Sums of Squares

 

Assumptions

Tests of Sphericity
 Mauchly's WpGreenhouse-Geisser εHuynh-Feldt ε
Refrigerated Stinky Cheese Varieties0.6540.6590.7991.000

 

Repeated Measures ANOVA

Within Subjects Effects
 Sphericity CorrectionSum of SquaresdfMean SquareFpη²
Room Temp Stinky Cheese VarietiesNone310.3033103.4346.0520.002730.287
 Greenhouse-Geisser310.3032.813110.2946.0520.003460.287
ResidualNone461.4202717.090   
 Greenhouse-Geisser461.42025.32118.223   
Note. Type 3 Sums of Squares
[3]

 

Between Subjects Effects
 Sum of SquaresdfMean SquareFpη²
Residual308.877934.320   
Note. Type 3 Sums of Squares

 

Assumptions

Tests of Sphericity
 Mauchly's WpGreenhouse-Geisser εHuynh-Feldt ε
Room Temp Stinky Cheese Varieties0.8890.9700.9381.000

 

Repeated Measures ANOVA

Within Subjects Effects
 Sphericity CorrectionSum of SquaresdfMean SquareFpη²
Stinky Cheese VarieitiesNone309.8353103.2783.3110.03500.099
 Greenhouse-Geisser309.8352.724113.7603.3110.04050.099
ResidualNone842.2422731.194   
 Greenhouse-Geisser842.24224.51234.360   
TemperatureNone337.0211337.021107.3812.66e0-60.108
 Greenhouse-Geisser337.0211.000337.021107.3812.66e-60.108
ResidualNone28.24793.139   
 Greenhouse-Geisser28.2479.0003.139   
Stinky Cheese Varieities ✻ TemperatureNone894.1413298.047115.1061.70e-150.286
 Greenhouse-Geisser894.1411.799497.000115.1064.52e-100.286
ResidualNone69.912272.589   
 Greenhouse-Geisser69.91216.1924.318   
Note. Type 3 Sums of Squares
[3]

 

Between Subjects Effects
 Sum of SquaresdfMean SquareFpη²
Residual639.630971.070   
Note. Type 3 Sums of Squares

 

Assumptions

Tests of Sphericity
 Mauchly's WpGreenhouse-Geisser εHuynh-Feldt ε
Stinky Cheese Varieities0.8510.94050.9081.000
Temperature1.000NaN1.0001.000
Stinky Cheese Varieities ✻ Temperature0.1550.01420.6000.740
ᵃ The repeated measures has only two levels. The assumption of sphericity is always met when the repeated measures has only two levels

 

Estimated Marginal Means

Stinky Cheese Varieities ✻ Temperature

[4]

Paired Samples T-Test

Paired Samples T-Test
95% Confidence Interval
   statisticdfpMean differenceSE difference Effect SizeLowerUpper
Limberger AverageEpoisses AverageStudent's t1.5919.0000.14603.1351.970Cohen's d0.503-0.1701.152
 Blue Stilton AverageStudent's t2.5609.0000.03075.0901.988Cohen's d0.8090.0721.514
 Roquefort AverageStudent's t2.6849.0000.02504.4951.675Cohen's d0.8490.1021.562
Epoisses AverageBlue Stilton AverageStudent's t1.1999.0000.26101.9551.630Cohen's d0.379-0.2741.013
 Roquefort AverageStudent's t0.7689.0000.46241.3601.772Cohen's d0.243-0.3930.866
Blue Stilton Average Student's t-0.3949.0000.7027-0.5951.510Cohen's d-0.125-0.7440.501

 

Descriptives
 NMeanMedianSDSE
Limberger Average1021.60021.1505.7101.806
Epoisses Average1018.46518.1253.8171.207
Limberger Average1021.60021.1505.7101.806
Blue Stilton Average1016.51017.3754.5611.442
Limberger Average1021.60021.1505.7101.806
Roquefort Average1017.10516.8253.7881.198
Epoisses Average1018.46518.1253.8171.207
Blue Stilton Average1016.51017.3754.5611.442
Epoisses Average1018.46518.1253.8171.207
Roquefort Average1017.10516.8253.7881.198
Blue Stilton Average1016.51017.3754.5611.442
Roquefort Average1017.10516.8253.7881.198

 

References

[1] The jamovi project (2021). jamovi. (Version 1.8) [Computer Software]. Retrieved from https://www.jamovi.org.

[2] R Core Team (2021). R: A Language and environment for statistical computing. (Version 4.0) [Computer software]. Retrieved from https://cran.r-project.org. (R packages retrieved from MRAN snapshot 2021-04-01).

[3] Singmann, H. (2018). afex: Analysis of Factorial Experiments. [R package]. Retrieved from https://cran.r-project.org/package=afex.

[4] Lenth, R. (2020). emmeans: Estimated Marginal Means, aka Least-Squares Means. [R package]. Retrieved from https://cran.r-project.org/package=emmeans.