scholarly journals Mathematical modeling - food price analysis

Author(s):  
Bingxian Leng ◽  
Yunfei Fu ◽  
Siyuan Li

This paper mainly uses the idea of pedigree clustering analysis, gray prediction and principal component analysis. The clustering analysis model, GM (1,1) model and principal component analysis model were established by using SPSS software to analyze the correlation matrices and principal component analysis. MATLAB software was used to calculate the correlation matrices. In January, The difference in price changes of major food prices in cities is calculated, and had forecasted the various food prices in June 2016. For the first issue, the main food is classified and the data are processed. After that, the SPSS software is used to classify the 27 kinds of food into four categories by using the pedigree cluster analysis model and the system clustering. The four categories are made by EXCEL. The price of food changes over time with a line chart that analyzes the characteristics of food price volatility. For the second issue, the gray prediction model is established based on the food classification of each kind of food price. First, the original data is cumulated, test and processed, so that the data have a strong regularity, and then establish a gray differential equation, and then use MATLAB software to solve the model. And then the residual test and post-check test, have C <0.35, the prediction accuracy is better. Finally, predict the price trend in June 2016 through the function. For the third issue, we analyzed the main components of 27 kinds of food types by celery, octopus, chicken (white striped chicken), duck and Chinese cabbage by using the data of principal given and analyzed by principal component analysis. It can be detected by measuring a small amount of food, this predict CPI value relatively accurate. Through the study of the characteristics of the region, select Shanghai and Shenyang, by looking for the relevant CPI and food price data, using spss software, principal component analysis, the impact of the CPI on several types of food, and then calculated by matlab algorithm weight, and then the data obtained by the analysis and comparison, different regions should be selected for different types of food for testing.

2020 ◽  
Vol 214 ◽  
pp. 03003
Author(s):  
Jiayi Yan ◽  
Qian Pu ◽  
Junfei Liu

Based on the knowledge of economics, this paper selects 22 macroeconomic indicators that best reflect the overall economic situation of the United States. After differential, logarithmic and exponential preprocessing of the original data, this paper, based on the power spectral analysis model, adaptively identifies the periodicity of the selected economic indicators, and visualize the results. As a result, it screens out 11 indicators with obvious periodicity. In the process of solving the weighted distance based on principal component analysis, correlation test is first conducted on the selected 11 single indicators of periodicity to obtain Pearson correlation heatmap. Then, the principal components are extracted by selecting the first five principal components as the virtual indicators to represent the monthly economic situation, and calculating the weighted distance value between months for visualization. Finally, we select the results of 36 months’ smoothing for analysis, figure out the time intervals with similar economic situation, and verify the conjecture of economic periodicity. Finally, based on K-MEAN clustering analysis, the economic conditions of 352 months are classified into 3 clusters by using the weighted distance after 36 months’ smoothing. From the visualized results, it is found that there are two complete cycles, i.e. red-yellow-blue and red-yellow-blue, which is consistent with the conclusion of principal component analysis model, and proves the existence of economic cycle again. In conclusion, based on the above PCA weighted distance and clustering analysis, it can be concluded that the economic period is around 176 months, in favor of medium long periodicity theory.


2011 ◽  
Vol 50-51 ◽  
pp. 728-732
Author(s):  
Ping Li ◽  
Ming Ying Zhuo ◽  
Li Chao Feng ◽  
Rui Zhang

Non-performance loan ratio is one of the important assessment criteria of the security of credit assets. It is also an important financial indicator to evaluate the general strength of commercial banks. Using principal component analysis method and statistical software SPSS16.0 and based on the non-performance loan ratio and relative data of some commercial banks in China in 2007, this paper provided a principal component analysis model for the non-performance loan ratio of China’s commercial banks. The factors that affect the non-performance loan ratio were refined in this paper. Finally, the characteristics of effect factors of each bank were analyzed and compared in detail.


2019 ◽  
Vol 67 (2) ◽  
pp. 213 ◽  
Author(s):  
Rohit Saxena ◽  
Sagnik Sen ◽  
Mukesh Patil ◽  
Atul Kumar ◽  
SreelakshmiP Amar ◽  
...  

2021 ◽  
Vol 1 (1) ◽  
pp. 190-199
Author(s):  
Rijalul Fikri ◽  
Aswin Mushardiyanto ◽  
Mochamad Naufal Laudza’Banin ◽  
Kristiana Maureen ◽  
Harry Patria

Berdasarkan dataset tentang informasi kemiskinan kabupaten/kota tahun 2020 yang dikeluarkan oleh Badan Pusat Statistik Indonesia, dipilih variabel bebas sebanyak dua puluh variabel yang digunakan dalam penelitian ini. Kemudian dilakukan uji korelasi antar variabel bebas tersebut dan diketahui terdapat variabel yang berkorelasi dikategorikan berkorelasi sangat tinggi, dengan nilai korelasi sebesar 0,921 (Persentase Penduduk Miskin - P1 (Poverty Gap Index)) dan 0,964 (P1 (Poverty Gap Index) - P2 (Proverty Severity Index)). Variabel yang memiliki korelasi sangat tinggi jika digunakan akan menyebabkan terjadinya multikolinearitas, sehingga opsi untuk menghilangkan multikolinearitas adalah dengan menggunakan Principal Component Analysis (PCA). Dengan menggunakan Proporsi Kumulatif Varians dan minimum persentase keragaman data sebesar 80% maka didapatkan output berupa dimensi data baru PCA sebanyak tiga dimensi data atau tiga variabel bebas baru. Dengan menggunakan variabel input baru berupa PCA 0, PCA 1 dan PCA 2 dilakukanlah penentuan jumlah cluster dengan metode Silhouette Coefficient dan analisa clustering menggunakan metode K-Means didapatkanlah empat kelompok/cluster, dengan jumlah anggota cluster 1 sebanyak 117 Kabupaten/Kota, cluster 2 sebanyak 154 Kabupaten/Kota, cluster 3 sebanyak 173 Kabupaten/Kota dan cluster 4 sebanyak 70 Kabupaten/Kota.


2019 ◽  
Vol 9 (17) ◽  
pp. 3491 ◽  
Author(s):  
Xiaolu Li ◽  
Xi Zhang ◽  
Peng Zhang ◽  
Guangyu Zhu

To improve the accuracy and efficiency of fault data identification of traffic detectors is crucial in order to decrease the probability of unexpected failures of the intelligent transportation system (ITS). Since convolutional fault data recognition based on traffic flow three-parameter law has a poor capability for multiscale of fault data, PCA (principal component analysis) is adopted for traffic fault data identification. This paper proposes the fault data detection models based on the PCA model, MSPCA (multiscale principal component analysis) model and improved MSPCA model, respectively. In order to improve the recognition rate of traffic detectors’ fault data, the improved MSPCA model combines the wavelet packet energy analysis and PCA to achieve traffic detector data fault identification. On the basis of traditional MSPCA, wavelet packet multi-scale decomposition is used to get detailed information, and principal component analysis models are established on different scale matrices, and fault data are separated by wavelet packet energy difference. Through case analysis, the feasibility verification of traffic flow data identification method is carried out. The results show that the improved method proposed in this paper is effective for identifying traffic fault data.


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