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ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 COURSE: BIOSTATISTICAL ANALYSIS AND BIOINFORMATIC MÃ MÔN HỌC: 603049 TAKE HOME EXAM: MONTH (03/09/2016– 3/10/2016) QUESTION 1: The sugar content (mg/ g fresh weight) of 33 oranges in Omachi’s garden was measured using a sweeten meter, and data shown as following: 1, 5, 7, 10, 11,12, 15, 8, 9, 11, 10, 9, 11, 16, 15, 6, 14, 11, 7, 8, 10, 12, 17, 21, 13, 19, 14, 11, 18, 3, 29, 39, 49 (i) Calculate mean, mode, medium, variance, standard deviation, standard error, coefficient variation, and draw pie chart and histogram with normal graph? (1.5 đ) (ii) What are outlier (extent value) of the data? What does it mean? (0.5 đ) ANSWER (i) Calculate mean, mode, medium, variance, standard deviation, standard error, coefficient variation, and draw pie chart and histogram with normal graph? data bt1 ; input grade @@; cards; 1, 5, 7, 10, 11,12, 15, 8, 9, 11, 10 9, 11, 16, 15, 6, 14, 11, 7, 8, 10, 12 17, 21, 13, 19, 14, 11, 18, 3, 29, 39, 49 ; Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Proc univariate; Var grade; Histogram grade/normal; Proc gchart data= bt1; Pie3d grade/percent=arrow; Run; Quit; Result: Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 (ii) What are outlier (extent value) of the data? What does it mean? The outlier of the date are 22.5 grade Notice that the mean ( 22.5) is equal to median 23, indicating that the data is normal distribution Question In Tra Vinh, the farmer fed 16 cows which were randomly assigned to diets (A~D), and the weights (kg) of these cows after raised on the diets were recorded as follows FeedA FeedB FeedC FeedD 62.0 68.7 102.6 85.9 59.0 67.7 108.1 84.2 65.0 64.0 100.2 83.1 61.7 69.8 96.5 199.0 Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 Use Duncan analysis to test if there are any differences (α = 0.05) among these feeds? (Assume that all tested pigs were independent and homogenetic) (2đ) ANSWER Data bt2; Input giong $ nangsuat @@; Cards; A 62.0 B 68.7 C 102.6 A 59.0 B 67.7 C A 65.0 B 64.0 C A 61.7 B 69.8 108.1 100.2 C 96.5 D 85.9 D 84.2 D 83.1 D 199.0 ; Proc anova; Class giong nangsuat; Model nangsuat=giong; Means giong/Duncan; Run; Quit; Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 QUESTION 3: Mr Nguyễn Hoàng Chinh investigated the effects of new varieties of peas (A~D) on different types of soils (1-6) for the yield (kg/hectare) of peas The following layout was the map for this experimental design and data were also collected when this experiment was completed Are there any differences (α = 0.01) of the average yield among these varieties? (sand) (clay) (loam) (sandy loam) (lay loam) (sand clay) B 9.4 (kg/ha) C 9.9 (kg/ha) A 8.6 (kg/ha) A 8.4 D 14.4 C D 12.2 A 10.8 B C 8.9 D 9.5 (kg/ha) (kg/ha) 10.2 10.0 B 8.8 (kg/ha) B 9.8 B 9.2 C 10.2 D 12.0 A 8.4 A 9.5 Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 C 9.8 B 15.2 D 11.5 A 8.8 C 8.5 D 9.8 Data bt3; Input block $ treat $ obs @@; Cards; a 8.4 a 10.8 a 8.6 a 8.8 a 8.4 a 9.5 b 9.4 b 15.2 b 10.0 b 9.8 b 9.2 b 8.8 c 9.8 c 9.9 c 10.2 c 8.9 c 8.5 c 10.2 d 12.2 d 14.4 d 11.5 d 12.0 d 9.5 d 9.8 ; Proc anova; Class block treat; Model obs=block treat; Means treat/lsd Duncan scheffe lines; Run; Quit; Result; Page ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Pr>F=0.0038F is F =0.0107 >α=0.01 Page 10 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Cards; 1 b 100 a 107 c 144 d 172 d 165 2 c 168 a 195 b 201 c 206 b 205 3 d 198 a 196 a 149 d 245 b 212 4 c 176 ; Proc anova; Class row col treat; Model obs=row col treat; Means treat/ducan lines; Means row/ducan lines; Means col/ducan lines; Run; Quit; Result: Page 16 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 Row has value F=5.30 with the Pr>F is F =0.0401 < α=0.05, we accept H1, Col has value 1.18 with Pr> F=0.3919> α=0.05, we accept H0 Page 17 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 Treat has value F=0.98 with the Pr>F is F =0.4613 > α=0.05Pr> F=0.3919>α=0.05, we accept H0, varieties different VARIETIES TOTAL SAPONIN ( mg/kgDW) VARIETIS A 161.75A VARIETIES B 179.50A VARIETIES C 173.50A VARIETIES D 195.00A Page 18 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 this varieties the difference does not mean Page 19 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 UPLC Value UPLC 130.75B UPLC 182.75A UPLC 201.25A UPLC 195.50A 182.75A=201.25A=195.50A>130.75B Value UPLC3>UPLC2 and UPLC4 The highest result was HPLC Page 20 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 The value of the column does not affect difference of total saponin content between these varieties Conclude: Varieties that affect the total amount of sponin in the seeds each different ginseng varieties have total sponin content was measured by UPLC different while ginseng sponin A for a total amount is highest when using UPLC, with α=0.05 QUESTION 5: In Da Lat, the data of X (precipitation, mm) and Y (yield, kg/ha) in the spring wheat collected from different years list below Page 21 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Published: 01 Year: 2016 - 2017 Date: 03/10/2016 (a) What is a best liner unbiased equation for X and Y? (b) Draw this line using SAS (c) How to interpret slope (regression coefficient) of this linear regression line? (d) Interpret r (correlation coefficient) between X and Y (e) Interpret r2 (coefficient of determination) between X and Y (f) Estimate a yield of wheat under 35-mm rainfall, and explain the characteristics of this value Year 200 2010 2011 2012 2013 22.8 25.9 28.9 27.1 26.8 33.5 35.8 44.6 41.2 45.4 Precipitatio n (mm) 201 2015 2016 25.2 33.0 32.0 39.0 31.5 33.8 Yield (Kg/ha) Data spring wheat; Input x y @@; Cards; 22.8 33.5 25.9 35.8 28.9 44.6 27.1 41.2 26.8 45.4 25.2 39.0 33.0 31.5 32.0 33.8 Page 22 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 ; Proc corr; Var x y; Proc reg; Model y=x/cli; Plot y*x; Run; Quit; Result: Page 23 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 A) Y= 48.0437-0.35882X is a best liner unbiased equation for X and Y If x decrease 1mm , then yield decrease 0.35882 kg B) ) Draw this line using SAS Page 24 ID: 61303202 FACULTY OF APPLIED SCIENCES Full Name: Nguyen Quang Nghia MIDTERM EXAMINATION SEMESTER Year: 2016 - 2017 Published: 01 Date: 03/10/2016 C) Pr>F= 0.5770 D) r Cov X , Y   S XX  SYY  X  X Y  Y  N 1  2     X  X Y  Y    N 1 N 1 N 1  X  X Y  Y  N 1  X  X   Y  Y  2 Page 25