Descriptive Statistics For Instagram Usage Data

Frequency distribution for device usage

Question:

Give a Descriptive Analysis for the variables.

It is observed that out of 196 respondents, about 121 respondents used the mobile for checking the instagram page while the 48 users use the computer for checking the instagram page. About 27 users or respondents use the tablet for checking the new launched instagram page. It is observed that the about 70 users use the morning time for accessing the instagram page while 31 respondents use the midday time for the same purpose. It is observed that about 44 users or respondents use the afternoon time for checking instagram page while about 51 respondents use the night time for accessing the instagram page. It is observed that there are 91 male respondent and 105 female respondents present in the given data set. The average length of time for the male is observed as the 42.63 seconds with the standard deviation of 21.67 seconds while the average length of time for the female is observed as 46 seconds with the standard deviation of 24.25 seconds. The average perception of instagram is given as 25.1786 with the standard deviation of 17.94. The correlation coefficient is found as 0.073 which means there is a very weak linear association or correlation or linear relationship exists between the given two variables gender and length of time. The multiple regression coefficients between the dependent variable number of times visited and independent variables length of time and perception of instagram is given as 0.726 which means there is a considerable amount of relationship exists between the given dependent and independent variables. The coefficient of determination or the value of the R square is given as 0.527 which means about 52.7% of the variation in the dependent variable is explained by the independent variables such as length of time and perception of instagram.

In this section we have to see the descriptive statistics for the variables included in the given data set. As we know that the descriptive statistics gives us the general idea about the variable under study. Descriptive statistics consist of the study of the mean, mode, median, maximum, minimum, standard deviation, range, etc. Let us see this descriptive statistics for the different variables under study given as below:

First of all we have to see the frequency distribution for the device used for the purpose of checking the instagram page. The frequency distribution is given as below:

18271645_1 = MOBILE, 2 = TABLET, 3 = COMPUTER
	Frequency	Percent	Valid Percent	Cumulative Percent
Valid	Mobile	121	61.7	61.7	61.7
Tablet	27	13.8	13.8	75.5
Computer	48	24.5	24.5	100.0
Total	196	100.0	100.0

From this table it is observed that out of 196 respondents, about 121 respondents used the mobile for checking the instagram page while the 48 users use the computer for checking the instagram page. About 27 users or respondents use the tablet for checking the new launched instagram page. Now, we have to see the bar chart for the above frequency distribution for the type of device used for checking the instagram page. The bar chart is given as below:

Now, we have to see the frequency distribution for the time of the day used by the user for checking or accessing the instagram page. The frequency distribution for the time of the day used by the user for accessing the instagram page is given as below:

18271645_1 = MORNING, 2 = MIDDAY, 3 = AFTERNOON, 4 = NIGHT
	Frequency	Percent	Valid Percent	Cumulative Percent
Valid	Morning	70	35.7	35.7	35.7
Midday	31	15.8	15.8	51.5
Afternoon	44	22.4	22.4	74.0
Night	51	26.0	26.0	100.0
Total	196	100.0	100.0

Frequency distribution for time of day

From this frequency distribution it is observed that the about 70 users use the morning time for accessing the instagram page while 31 respondents use the midday time for the same purpose. It is observed that about 44 users or respondents use the afternoon time for checking instagram page while about 51 respondents use the night time for accessing the instagram page. Now, we have to see the bar diagram for the above frequency distribution for the time of the day used by the user for accessing the instagram page which is given as below:

From this bar diagram it is observed that most of the users use the instagram page at the morning time. So, it is recommended that focus on the morning time for making more advertisements or other activities when most of the users are online.

Now, we have to see the frequency distribution for the gender of the respondent which is given as below:

18271645_1 = FEMALE,    2 = MALE
	Frequency	Percent	Valid Percent	Cumulative Percent
Valid	Male	91	46.4	46.4	46.4
Female	105	53.6	53.6	100.0
Total	196	100.0	100.0

From the above table, it is observed that there are 91 male respondent and 105 female respondents present in the given data set. The bar diagram for this frequency distribution is given as below:

For the variable length of time in seconds, the descriptive statistics for the male and female are summarised in the following table:

Group Statistics
	18271645_1 = FEMALE,    2 = MALE	N	Mean	Std. Deviation	Std. Error Mean
18271645_LENGTH OF TIME (SECONDS)	Male	91	42.6264	21.66649	2.27126
Female	105	46.0000	24.24554	2.36612

The average length of time for the male is observed as the 42.63 seconds with the standard deviation of 21.67 seconds while the average length of time for the female is observed as 46 seconds with the standard deviation of 24.25 seconds. Now, we have to see the descriptive statistics for the variable perception of instagram which is summarised in the following table:

Descriptive Statistics
	N	Minimum	Maximum	Mean	Std. Deviation
18271645_PERCEPTION OF INSTAGRAM (Constant sum)	196	.00	60.00	25.1786	17.94018
Valid N (listwise)	196

 The average perception of instagram is given as 25.1786 with the standard deviation of 17.94.

Now, we have to see the variation pattern for the four items of social posers instagram involvements. The standard deviations for these variables are summarised as below:

Descriptive Statistics
	N	Std. Deviation
18271645_II_5: Instagram is great for sharing my life with others	196	1.82732
18271645_II_7: I could go a week without visiting Instagram	196	1.84209
18271645_II_8: All my friends use Instagram regularly	196	1.93486
18271645_II_10: I care about what people think of my Instagram account	196	1.86167
Valid N (listwise)	196

Inferential Analysis

In this section, first of all we have to see the correlation coefficients between the two variables gender and length of the time which is given as below:

Correlations
	18271645_1 = FEMALE,    2 = MALE	18271645_LENGTH OF TIME (SECONDS)
18271645_1 = FEMALE,    2 = MALE	Pearson Correlation	1	.073
Sig. (2-tailed)		.309
N	196	196
18271645_LENGTH OF TIME (SECONDS)	Pearson Correlation	.073	1
Sig. (2-tailed)	.309
N	196	196

The correlation coefficient is found as 0.073 which means there is a very weak linear association or correlation or linear relationship exists between the given two variables. Now, we have to see the regression model for the purpose of the prediction of the dependent variable number of times repeated. The regression model is given as below:

Model Summary
Model	R	R Square	Adjusted R Square	Std. Error of the Estimate
1	.726a	.527	.522	2.17910
a. Predictors: (Constant), 18271645_LENGTH OF TIME (SECONDS), 18271645_PERCEPTION OF INSTAGRAM (Constant sum)

 The multiple regression coefficient between the dependent variable number of times visited and independent variables length of time and perception of instagram is given as 0.726 which means there is a considerable amount of relationship exists between the given dependent and independent variables. The coefficient of determination or the value of the R square is given as 0.527 which means about 52.7% of the variation in the dependent variable is explained by the independent variables such as length of time and perception of instagram. The ANOVA table for this regression analysis is given as below:

ANOVAb
Model	Sum of Squares	df	Mean Square	F	Sig.
1	Regression	1019.848	2	509.924	107.387	.000a
Residual	916.453	193	4.748
Total	1936.301	195
a. Predictors: (Constant), 18271645_LENGTH OF TIME (SECONDS), 18271645_PERCEPTION OF INSTAGRAM (Constant sum)
b. Dependent Variable: 18271645_FIRST MONTH OF LAUNCH (number of times visited)

For this regression analysis we get the p-value as 0.00 which is less than the given level of significance or alpha value 0.05, so we reject the null hypothesis that the given regression model is significant. This means the regression model is not significant. The coefficients for this regression model are summarised in the following table:

Coefficients
Model	Unstandardized Coefficients	Standardized Coefficients	t	Sig.
B	Std. Error	Beta
1	(Constant)	.307	.352		.872	.384
18271645_PERCEPTION OF INSTAGRAM (Constant sum)	.113	.010	.641	11.655	.000
18271645_LENGTH OF TIME (SECONDS)	.022	.008	.161	2.921	.004
a. Dependent Variable: 18271645_FIRST MONTH OF LAUNCH (number of times visited)

The regression equation for the above regression analysis is given as below:

Number of times visited = 0.307 + 0.113*Perception of instagram + 0.022*length of time

1. It is observed that out of 196 respondents, about 121 respondents used the mobile for checking the instagram page while the 48 users use the computer for checking the instagram page. About 27 users or respondents use the tablet for checking the new launched instagram page.
2. It is observed that the about 70 users use the morning time for accessing the instagram page while 31 respondents use the midday time for the same purpose. It is observed that about 44 users or respondents use the afternoon time for checking instagram page while about 51 respondents use the night time for accessing the instagram page.
3. It is observed that there are 91 male respondent and 105 female respondents present in the given data set.
4. The average length of time for the male is observed as the 42.63 seconds with the standard deviation of 21.67 seconds while the average length of time for the female is observed as 46 seconds with the standard deviation of 24.25 seconds.
5. The average perception of instagram is given as 25.1786 with the standard deviation of 17.94.
6. The correlation coefficient is found as 0.073 which means there is a very weak linear association or correlation or linear relationship exists between the given two variables gender and length of time.

References

Schervish, Mark J. (1995). Theory of statistics (Corr. 2nd print. ed.). New York: Springer

Moses, Lincoln E. (1986) Think and Explain with Statistics, Addison-Wesley

Hays, William Lee, (1973) Statistics for the Social Sciences, Holt, Rinehart and Winston

Rubin, Donald B.; Little, Roderick J. A., Statistical analysis with missing data, New York: Wiley 2002

Mosteller, F., & Tukey, J. W. (1977). Data analysis and regression. Boston: Addison-Wesley.

Mann, Prem S. (1995). Introductory Statistics (2nd ed.). Wiley.

Babbie, Earl R. (2009). The Practice of Social Research (12th ed.). Wadsworth.

Nick, Todd G. (2007). “Descriptive Statistics”. Topics in Biostatistics.New York: Springer.

Trochim, William M. K. (2006). “Descriptive statistics”. Research Methods Knowledge Base.