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Implementing two-way interaction with Sequential Contrasts

I have a question regarding how to implement an analysis like this via a sequential contrast or regression model:

Here, I want to compare the difference between a linear trend over time and a quadratic trend over time, while holding other variables constant (A, B, C).
One approach for dealing with this is to use an interaction term between variables:

Obviously, this is a two-way interaction, such that there is a difference between the linear trend (A*B) and the quadratic trend (A*B), and the difference between the quadratic and the linear trend is represented by the difference between (A*B) and (A*C). The problem I’m seeing is that the interactions seem to “cancel each other out” and not provide a distinct effect beyond just the main effects of A and B.
I see that I can do this with a sequential design, but was hoping that there may be a better way to model this and construct the design matrix?

I think that the contrast you are looking for is of the form
$$
\begin{align}
&\beta_0^T\mathbf{1}_n+\beta_1\mathbf{A}+\beta_2\mathbf{B}+\beta_3\mathbf{C} \\
&+ \beta_4\mathbf{A}\mathbf{B}+\beta_5\mathbf{A}\mathbf{C}+\beta_6\mathbf{B}\mathbf{C},
\end{align}
$$
where $\mathbf{1}_n$ is the $n$-length vector with all elements equal to $1$, and $\mathbf{A}$, $\mathbf{B}$ and $\mathbf{C}$ are $n\times 3$ matrices. This gives you 9 interactions: the main effects of $\mathbf{A}$, $\mathbf{B}$ and $\mathbf{C}$ with $\mathbf{A}\mathbf{B}$,

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How to get data from a very remote connection with System.Data.SQLite

I found an example about how to get data from a local connection in C# with System.Data.SQLite, but I do not know how to get data from a remote connection.
For instance, I have a remote host where I get all the connection strings, but I do not know how to retrieve data from it.
Thanks.

I have created a similar solution that uses the official SQLite C# wrapper. It takes an IP address of a SQLite server and retrieves a list of tables and stored procedures available on the remote server. I haven’t tested it with a SQLite server running on a remote host, but it should work.
You can download the source code at the link below and copy over to your server. If you want to install the source code into Visual Studio, you can right click on the Project in the Solution Explorer window and click “Add Existing Item”. The SQLite.cs file and SQLite.cs.Designer.cs file should already be in the right folder.
SQLite WCF Client (wrapper)

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